{"id":26644,"date":"2023-03-23T04:09:25","date_gmt":"2023-03-23T04:09:25","guid":{"rendered":"https:\/\/www.splashlearn.com\/math-vocabulary\/?page_id=26644"},"modified":"2024-02-05T09:11:10","modified_gmt":"2024-02-05T09:11:10","slug":"zero-slope-definition-types-graph-equation-examples","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/zero-slope","title":{"rendered":"Zero Slope &#8211; Definition, Types, Graph, Equation, Examples"},"content":{"rendered":"<div class=\"aioseo-breadcrumbs\"><span class=\"aioseo-breadcrumb\">\n\tMath-Vocabulary\n<\/span><\/div>\n\n<div class=\"ub_table-of-contents\" data-showtext=\"show\" data-hidetext=\"hide\" data-scrolltype=\"auto\" id=\"ub_table-of-contents-babc7556-15c2-4be7-8c53-1b34e7a9fb29\" data-initiallyhideonmobile=\"false\"\n                    data-initiallyshow=\"true\"><div class=\"ub_table-of-contents-extra-container\"><div class=\"ub_table-of-contents-container ub_table-of-contents-1-column \"><ul><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/zero-slope#0-what-is-a-zero-slope-in-math>What Is a Zero Slope in Math?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/zero-slope#3-types-of-a-slope-of-a-line>Types of a Slope of a Line<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/zero-slope#12-zero-slope-vs-undefined-slope>Zero Slope Vs Undefined Slope<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/zero-slope#18-solved-examples-on-zero-slope->Solved Examples On Zero Slope<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/zero-slope#19-practice-problems-on-zero-slope>Practice Problems On Zero Slope<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/zero-slope#20-frequently-asked-questions-on-zero-slope>Frequently Asked Questions On Zero Slope<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"0-what-is-a-zero-slope-in-math\">What Is a Zero Slope in Math?<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">Slope is a measurement of the rate of change. Have you ever wondered what the term \u201czero slope\u201d means? In this case, you have come to the right place. In this article, we define zero slope and discuss what it means in geometry. To help you understand how this idea works, we\u2019ll also give you some examples of zero-slope equations and straight lines.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Imagine driving your bicycle on a straight horizontal line and driving your bicycle uphill? Of course, driving a bicycle on a horizontal line will be easy since the slope of a horizontal line is zero.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"309\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/03\/Zero-slope-1.png\" alt=\"Zero slope: real-life example\" class=\"wp-image-26679\" title=\"Zero slope: real-life example\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/03\/Zero-slope-1.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/03\/Zero-slope-1-300x150.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h3 class=\"wp-block-heading eplus-wrapper\" id=\"1-zero-slope-definition\"><strong>Zero Slope<\/strong> Definition<\/h3>\n\n\n\n<p class=\"eplus-wrapper\">A line having zero slope is a horizontal line parallel to x-axis. Thus, a line with a zero slope is perpendicular to the y-axis of the coordinate plane.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">The line with zero slope forms an angle of $0^{\\circ}$ or $180^{\\circ}$ with the positive x-axis. The value of the y coordinates is constant on a line with a slope of zero. Only the x-values change.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Example:<\/strong> The red line is parallel to the x-axis and has zero slope.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"343\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/03\/Zero-slope-2.png\" alt=\"A representation of a line with zero slope\" class=\"wp-image-26681\" title=\"A representation of a line with zero slope\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/03\/Zero-slope-2.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/03\/Zero-slope-2-300x166.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<div id=\"recommended-games-container-id\" class=\"recommended-games-container\"><h4 class=\"recommended-games-container-headline\">Recommended Games<\/h4><div class=\"recommended-games-container-slides\"><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/divide-using-patterns-of-zeros\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/mult_div_pv_div_using_zero_a_pt.png\" alt=\"Divide Using Patterns of Zeros Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Divide Using Patterns of Zeros Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/identify-the-patterns-of-zeros-and-divide\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/mult_div_pv_div_using_zero_b_pt.png\" alt=\"Identify the Patterns of Zeros and Divide Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Identify the Patterns of Zeros and Divide Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/regroup-once-to-subtract-across-zeros\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_pv_sub_4d_regrp_once_pt.png\" alt=\"Regroup Once to Subtract Across Zeros Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Regroup Once to Subtract Across Zeros Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/regroup-thrice-to-subtract-across-zeros\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_pv_sub_4d_regrp_thrice_pt.png\" alt=\"Regroup Thrice to Subtract Across Zeros Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Regroup Thrice to Subtract Across Zeros Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/regroup-twice-to-subtract-across-zeros\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_pv_sub_4d_regrp_twice_pt.png\" alt=\"Regroup Twice to Subtract Across Zeros Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Regroup Twice to Subtract Across Zeros Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><\/div><p class=\"recommended-games-container-desc\"><a href=\"https:\/\/www.splashlearn.com\/games\">More Games<\/a><\/p><button class=\"scroll-right-arrow\"><\/button><\/div><script type=\"text\/javascript\">\n        document.addEventListener(\"DOMContentLoaded\", function() {\n            const container = document.querySelector(\"#recommended-games-container-id\");\n            const slidesContainer = container.querySelector(\".recommended-games-container-slides\");\n            const cards = 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slidesContainer.scrollWidth - slidesContainer.clientWidth;\n                if ((slidesContainer.scrollLeft + 10) >= maxScrollLeft) {\n                    scrollRightArrow.style.display = \"none\"; \/\/ Hide the arrow if fully scrolled\n                } else {\n                    scrollRightArrow.style.display = \"block\"; \/\/ Show the arrow if not fully scrolled\n                }\n            }\n\n            scrollRightArrow.addEventListener(\"click\", function() {\n                const scrollAmount = 300; \/\/ Adjust based on the container's width and your needs\n                slidesContainer.scrollLeft += scrollAmount;\n                setTimeout(checkScrollPosition, 100); \/\/ Delay to allow scroll update\n            });\n\n            adjustContainerStyles();\n            checkScrollPosition();\n            slidesContainer.addEventListener(\"scroll\", checkScrollPosition);\n        });\n    <\/script><h2 class=\"wp-block-heading eplus-wrapper\" id=\"2-what-does-zero-slope-mean-in-math\">What Does Zero Slope Mean in Math?<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">A line with zero slope is a horizontal line parallel to x-axis.&nbsp;&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">On a graph, a slope of a line is calculated by the formula \u201crise over run\u201d or $\\frac{Rise}{Run}$.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"313\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/03\/Zero-slope-3.png\" alt=\"Slope defined as rise over run\" class=\"wp-image-26682\" title=\"Slope defined as rise over run\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/03\/Zero-slope-3.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/03\/Zero-slope-3-300x151.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">Thus, if a line passes through points $(x_1,\\;y_1)$ and $(x_2,\\;y_2)$, the slope is given by<\/p>\n\n\n\n<p class=\"eplus-wrapper\">slope $= m = \\frac{y_2\\;-\\;y_1}{x_2\\;-\\;x_1} = \\frac{\\Delta y}{\\Delta x}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">For a horizontal line, there is no \u201crise.\u201d If you pick any two points on a horizontal line, their y-coordinate will be the same. So, we get $\\Delta y = 0$.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Thus, slope of a horizontal line $= 0$<\/p>\n\n\n\n<div id=\"recommended-worksheets-container-id\" class=\"recommended-games-container\"><h4 class=\"recommended-games-container-headline\">Recommended Worksheets<\/h4><div class=\"recommended-games-container-slides\"><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/patterns-of-zero-in-division\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/patterns-of-zero-in-division.jpeg\" alt=\"Patterns of Zero in Division Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/relate-patterns-of-zero-in-division\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/relate-patterns-of-zero-in-division.jpeg\" alt=\"Relate Patterns of Zero in Division Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/use-patterns-of-zero-in-division-sentences\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/use-patterns-of-zero-in-division-sentences.jpeg\" alt=\"Use Patterns of Zero in Division Sentences Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/use-patterns-of-zero-to-divide\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/use-patterns-of-zero-to-divide.jpeg\" alt=\"Use Patterns of Zero to Divide Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/use-the-patterns-of-zero-to-choose-the-quotient\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/use-the-patterns-of-zero-to-choose-the-quotient.jpeg\" alt=\"Use the Patterns of Zero to Choose the Quotient Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/use-the-patterns-of-zero-to-find-the-dividend\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/use-the-patterns-of-zero-to-find-the-dividend.jpeg\" alt=\"Use the Patterns of Zero to Find the Dividend Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/use-the-patterns-of-zero-to-find-the-quotient\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/use-the-patterns-of-zero-to-find-the-quotient.jpeg\" alt=\"Use the Patterns of Zero to Find the Quotient Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><\/div><p class=\"recommended-games-container-desc\"><a href=\"https:\/\/www.splashlearn.com\/worksheets\">More Worksheets<\/a><\/p><button class=\"scroll-right-arrow\"><\/button><\/div><script type=\"text\/javascript\">\n        document.addEventListener(\"DOMContentLoaded\", function() {\n            const container = document.querySelector(\"#recommended-worksheets-container-id\");\n            const slidesContainer = container.querySelector(\".recommended-games-container-slides\");\n            const cards = 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slidesContainer.scrollWidth - slidesContainer.clientWidth;\n                if ((slidesContainer.scrollLeft + 10) >= maxScrollLeft) {\n                    scrollRightArrow.style.display = \"none\"; \/\/ Hide the arrow if fully scrolled\n                } else {\n                    scrollRightArrow.style.display = \"block\"; \/\/ Show the arrow if not fully scrolled\n                }\n            }\n\n            scrollRightArrow.addEventListener(\"click\", function() {\n                const scrollAmount = 300; \/\/ Adjust based on the container's width and your needs\n                slidesContainer.scrollLeft += scrollAmount;\n                setTimeout(checkScrollPosition, 100); \/\/ Delay to allow scroll update\n            });\n\n            adjustContainerStyles();\n            checkScrollPosition();\n            slidesContainer.addEventListener(\"scroll\", checkScrollPosition);\n        });\n    <\/script><h2 class=\"wp-block-heading eplus-wrapper\" id=\"3-types-of-a-slope-of-a-line\">Types of a Slope of a Line<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">There are four main types of slope plots:<\/p>\n\n\n\n<h3 class=\"wp-block-heading eplus-wrapper\" id=\"4-positive-slope\">Positive Slope<\/h3>\n\n\n\n<p class=\"eplus-wrapper\">A line positive slope can be imagined as running uphill. The y-value increases as the x-value increases.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"344\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/03\/Zero-slope-4.png\" alt=\"A line with positive slope\" class=\"wp-image-26683\" title=\"A line with positive slope\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/03\/Zero-slope-4.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/03\/Zero-slope-4-300x166.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h3 class=\"wp-block-heading eplus-wrapper\" id=\"5-negative-slope\">Negative Slope<\/h3>\n\n\n\n<p class=\"eplus-wrapper\">You can compare it to running downhill. Here, the value of y decreases as the value of x increases.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"468\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/03\/Zero-slope-5.png\" alt=\"A line with negative slope\" class=\"wp-image-26684\" title=\"A line with negative slope\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/03\/Zero-slope-5.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/03\/Zero-slope-5-300x226.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h3 class=\"wp-block-heading eplus-wrapper\" id=\"6-zero-slope\">Zero Slope<\/h3>\n\n\n\n<p class=\"eplus-wrapper\">The <strong>slope is zero<\/strong> when a line doesn\u2019t have any vertical rise. This will be a straight horizontal line. It will remain the same from left to right. See the figure below.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"334\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/03\/Zero-slope-6.png\" alt=\"Zero slope\" class=\"wp-image-26685\" title=\"Zero slope\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/03\/Zero-slope-6.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/03\/Zero-slope-6-300x162.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h3 class=\"wp-block-heading eplus-wrapper\" id=\"7-undefined-slope\">Undefined Slope<\/h3>\n\n\n\n<p class=\"eplus-wrapper\">The undefined slope refers to the slope of a vertical line. The x coordinate remains the same. So, in the \u201crise over run\u201d formula the denominator becomes zero. The equation of a line having undefined slope is of the form&nbsp; $x = b$, where b is a constant.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"398\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/03\/Zero-slope-7.png\" alt=\"undefined slope\" class=\"wp-image-26686\" title=\"undefined slope\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/03\/Zero-slope-7.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/03\/Zero-slope-7-300x193.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"8-zero-slope-form\">Zero Slope Form<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">The formula for the slope point form of a straight line is $y = mx + b$, where<\/p>\n\n\n\n<p class=\"eplus-wrapper\">y: the y coordinate of a point on the line<\/p>\n\n\n\n<p class=\"eplus-wrapper\">m: slope<\/p>\n\n\n\n<p class=\"eplus-wrapper\">x: the x-coordinate of a point on the line<\/p>\n\n\n\n<p class=\"eplus-wrapper\">b: y-intercept<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Now, we can plug in a slope of \u201c0\u201d for m and see how it changes the formula:<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$y = 0x + b$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$y = 0 + b$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">0 can be removed from the formula, we get:<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$y = b$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">This is the zero slope form.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"9-zero-slope-line\">Zero Slope Line<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">What does a zero slope line look like? It is a line parallel to the x-axis. It\u2019s a horizontal line.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Some of the examples of equations for the zero slope line are:<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$y = 5$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$y = 8.7$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$y = -\\;19$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">b can be equal to any number, positive or negative, integer or rational, or any other real number.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"10-zero-slope-equation\">Zero Slope Equation<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">The zero slope equation or the equation of a line having zero slope can be written as<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$y = b$.&nbsp; It is also written as $y = c$.&nbsp;<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"11-zero-slope-graph\">Zero Slope Graph<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">The graph of a line with zero slope gives a line parallel to the x-axis. The following graph shows examples of lines having zero slope.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"621\" height=\"447\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/03\/Zero-slope-8.png\" alt=\"Zero slope lines: examples\" class=\"wp-image-26687\" title=\"Zero slope lines: examples\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/03\/Zero-slope-8.png 621w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/03\/Zero-slope-8-300x216.png 300w\" sizes=\"auto, (max-width: 621px) 100vw, 621px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"12-zero-slope-vs-undefined-slope\">Zero Slope Vs Undefined Slope<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">The slope of the line can be positive, negative, zero, or undefined.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-table eplus-wrapper\"><table class=\"wj-table-class\"><tbody><tr><td><strong>Zero slope<\/strong><\/td><td><strong>Undefined slope<\/strong><\/td><\/tr><tr><td>The slope of a horizontal line is zero because it does not rise vertically $(y_1 \\;\u2212\\; y_2 = 0)$.<\/td><td>The slope of a vertical line is undefined because it does not run horizontally $(x_1 \\;\u2212\\; x_2 = 0)$.<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"13-how-to-calculate-zero-slope\">How to Calculate Zero Slope<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">The zero slopes of a line can be calculated using three simple methods. The zero slopes of a line can be calculated from the points on the line, the angle the line makes with the positive x-axis or the derivative of the line\/curve equation. For two points $(x_1,\\;y_1)$and $(x_2,\\;y_2)$ on a straight line, the slope can be calculated using the formula $m = \\frac{(y_2\\;-\\;y_1)}{(x_2\\;-\\;x_1)}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Also, if is the angle the line makes with the positive x-axis in the counterclockwise direction, then the slope of the line can be calculated using the tangent of that angle $\\theta$. The zero-slope lines make an angle of $0^{\\circ}$ or $180^{\\circ}$. We calculate the slope using the formula $m = tan\\; 0^{\\circ} = tan\\; 180^{\\circ} = 0$.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">For a given equation for a curve f(x), the slope of the curve is the slope of the tangent to a point on the curve, computed by differentiating the function. $m = f'(x) = dy\/dx$.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"14-why-do-horizontal-lines-have-zero-slope\">Why Do Horizontal Lines Have Zero Slope?<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">The <a href=\"http:\/\/socratic.org\/algebra\/graphs-of-linear-equations-and-functions\/slope\">slope<\/a> of a line is defined as&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$Slope = \\frac{(Rise)}{(Run)}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">The rise of a horizontal line is zero since the y-coordinate is constant.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Thus, the slope is zero.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"15-what-kinds-of-lines-have-zero-slope\">What Kinds of Lines Have Zero Slope?<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">The x-axis or the horizontal axis has 0 slope.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Also, as mentioned above, all horizontal lines or the lines parallel to the x-axis have 0 slope.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"16-fun-facts\">Fun Facts!<\/h2>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">A line with zero slopes is perfectly flat in the horizontal direction.&nbsp;<\/li>\n\n\n\n<li class=\"eplus-wrapper\">A horizontal line has a slope of zero since it does not rise vertically.<\/li>\n\n\n\n<li class=\"eplus-wrapper\">We cannot divide by zero, we say the slope of a vertical line is infinite.<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"17-conclusion\">Conclusion<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">In this article, we learned about lines with zero slope. We also discussed the graph, equation, and facts. Let\u2019s solve a few examples and practice problems to understand the concept better.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"18-solved-examples-on-zero-slope-\"><strong>Solved Examples On Zero Slope<\/strong><\/h2>\n\n\n\n<p class=\"eplus-wrapper\"><strong>1. Consider a line with a slope of 0. Find a point on the same line that is 6 units away from the point (5, 8).<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">Given that the slope of the given line is zero, the value of &#8220;y&#8221; will not change. Any additional point on the line will therefore have the form $(x,\\; 8)$.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">As the direction is not specified, the point that is six units away from $(5,8)$ might either be $(5 + 6,\\; 8)$ or $(5\\;-\\;6,\\; 8)$.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Therefore, the point can be either$(11,\\; 8)$ or $(\\;-\\;1,\\;8)$ for the specified line.<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>2. Find the slope of the given line.<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"352\" height=\"352\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/03\/Zero-slope-solved-ex1.png\" alt=\"A horizontal line passing through two points\" class=\"wp-image-26688\" title=\"A horizontal line passing through two points\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/03\/Zero-slope-solved-ex1.png 352w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/03\/Zero-slope-solved-ex1-300x300.png 300w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/03\/Zero-slope-solved-ex1-150x150.png 150w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/03\/Zero-slope-solved-ex1-250x250.png 250w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/03\/Zero-slope-solved-ex1-120x120.png 120w\" sizes=\"auto, (max-width: 352px) 100vw, 352px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">The line on the graph is horizontal. Its slope is zero.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">As we can see, the two points on line are $(\\;-\\;2,\\; 5)$ and $(6,\\; 5)$. We&#8217;ll use those two points to determine the slope.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$Slope = m = \\frac{y_2\\;-\\;y_1}{x_2\\;-\\;x_1}$&nbsp;                              [Slope formula]<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$\\Rightarrow m = \\frac{5 \\;\u2013\\; 5}{6 \\;\u2212\\; (\\;\u2212\\;2)}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$\\Rightarrow m = \\frac{0}{8}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$\\Rightarrow m = 0$<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>3. How do we <\/strong><strong>find the slope of the x-axis?<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution:<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">$y = 0$ is the equation of the x-axis.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">The equation can be rewritten as&nbsp; $y = 0.x + 0$.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Compare it with the general equation $y = mx + c$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">We get, $m = slope = 0$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">The slope of the x-axis is 0<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>4. Determine the slope of the given line.<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"352\" height=\"352\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/03\/Zero-slope-solved-ex2.png\" alt=\"A vertical line passing through two points\" class=\"wp-image-26689\" title=\"A vertical line passing through two points\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/03\/Zero-slope-solved-ex2.png 352w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/03\/Zero-slope-solved-ex2-300x300.png 300w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/03\/Zero-slope-solved-ex2-150x150.png 150w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/03\/Zero-slope-solved-ex2-250x250.png 250w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/03\/Zero-slope-solved-ex2-120x120.png 120w\" sizes=\"auto, (max-width: 352px) 100vw, 352px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">The line on the graph is vertical. Its slope is therefore undefined.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Let&#8217;s calculate the slope using the slope formula to verify our conclusion.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">The graph\u2019s two points are (1, 5) and (14), respectively (1, -3). So,<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$Slope = m = \\frac{y_2\\;-\\;y_1}{x_2\\;-\\;x_1}$&nbsp;                                     [Slope formula]<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$\\Rightarrow m = \\frac{(\\;\u2212\\;3)\\;\u2212\\;5}{1\\;\u2013\\;1}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$\\Rightarrow m = \\frac{\u22128}{0}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$m = undefined$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Therefore, the slope of the graph is undefined.<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>5. Determine the point on the horizontal line that should be 5 units away from this point (2,6).<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">Given a horizontal line, we can infer that it has a slope of zero, meaning that the value of \u201cy\u201d will remain constant. Therefore any additional point on the line will be of the form $(x,\\;6)$.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Since the direction has not been specified, the point might either be $(2 + 5,\\; 6)$ or $(2\\;-\\;5,\\; 6)$.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">So, the point can either be $(7,\\;6)$ or $(\\;-\\;3,\\;6)$ for the given line.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"19-practice-problems-on-zero-slope\">Practice Problems On Zero Slope<\/h2>\n\n\n\n<p class=\"eplus-wrapper\"><div class=\"spq_wrapper\"><h2 style=\"display:none;\">Zero Slope - Definition, Types, Graph, Equation, Examples<\/h2><p style=\"display:none;\">Attend this quiz & Test your knowledge.<\/p><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">1<\/span><h3 class=\"sqp_question_text\">Identify the lines with zero slope.<\/h3><\/span><div class=\"spq_question_image\"><img decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/03\/pp1.png\"><\/div><div class=\"spq_answer_block\" data-value=\"0\">lines a and $y = 2$<\/div><div class=\"spq_answer_block\" data-value=\"1\">lines b and $y = 2$<\/div><div class=\"spq_answer_block\" data-value=\"2\">lines a and $x = \\;-\\;5$<\/div><div class=\"spq_answer_block\" data-value=\"3\">lines e and $x = \\;-\\;5$ <\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: lines a and $y = 2$<br\/>Line a and line $y = 2$ are horizontal lines on the graph. As a result, the slope of line a and line $y = 2$ is zero.<br>\r\nLine b and line $x = \\;-\\;5$ form a vertical line on the graph. As a result, the slope of \u201clines b and $x = \\;-\\;5$\u201d is undefined.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">2<\/span><h3 class=\"sqp_question_text\">What would be the slope of the line that is parallel to the y-axis?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">Zero<\/div><div class=\"spq_answer_block\" data-value=\"1\">$1$<\/div><div class=\"spq_answer_block\" data-value=\"2\">Undefined<\/div><div class=\"spq_answer_block\" data-value=\"3\">$-\\;1$<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: Undefined<br\/>Undefined slope refers to the slope of vertical lines.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">3<\/span><h3 class=\"sqp_question_text\">Find the distance of a line from x-axis if it has zero slope and is passing through the point $(4,\\; 5)$.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">5 units<\/div><div class=\"spq_answer_block\" data-value=\"1\">7 units<\/div><div class=\"spq_answer_block\" data-value=\"2\">2 units<\/div><div class=\"spq_answer_block\" data-value=\"3\">4 units<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: 5 units<br\/>The line with zero slopes is parallel to the x-axis. Thus, the distance of the line from x-axis $=$ y-coordinate $=$ 5 units<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">4<\/span><h3 class=\"sqp_question_text\">A line which makes an angle of 90 degrees with the positive direction of the x-axis has _____________.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">zero slope<\/div><div class=\"spq_answer_block\" data-value=\"1\">positive slope<\/div><div class=\"spq_answer_block\" data-value=\"2\">undefined slope<\/div><div class=\"spq_answer_block\" data-value=\"3\">negative slope<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: undefined slope<br\/>A line that makes an angle of 90 degrees with the positive direction of the x-axis has an undefined slope.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">5<\/span><h3 class=\"sqp_question_text\">The line $y = 6$ has _____ slope.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">zero<\/div><div class=\"spq_answer_block\" data-value=\"1\">negative<\/div><div class=\"spq_answer_block\" data-value=\"2\">undefined<\/div><div class=\"spq_answer_block\" data-value=\"3\">positive<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: zero<br\/>$y = 6$ is a horizontal line, parallel to the x-axis. Thus, it has zero slope.<\/span><\/div><\/div><\/div><\/div>  <script type=\"application\/ld+json\">{\n        \"@context\": \"https:\/\/schema.org\/\", \n        \"@type\": \"Quiz\", \n        \"typicalAgeRange\": \"3-11\",\n        \"educationalLevel\":  \"beginner\",\n        \"assesses\" : \"Attend this quiz & Test your knowledge.\",\n        \"educationalAlignment\": [\n              {\n                \"@type\": \"AlignmentObject\",\n                \"alignmentType\": \"educationalSubject\",\n                \"targetName\": \"Math\"\n              }] ,\n        \"name\": \"Zero Slope - Definition, Types, Graph, Equation, Examples\",        \n        \"about\": {\n                \"@type\": \"Thing\",\n                \"name\": \"Zero Slope\"\n        },  \n        \"hasPart\": [{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Identify the lines with zero slope.\",\n                    \"text\": \"Identify the lines with zero slope. <img src=\\\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/03\/pp1.png\\\"\/>\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Line a and line $$y = 2$$ are horizontal lines on the graph. As a result, the slope of line a and line $$y = 2$$ is zero.<br>\r\nLine b and line $$x = \\\\;-\\\\;5$$ form a vertical line on the graph. As a result, the slope of \u201clines b and $$x = \\\\;-\\\\;5$$\u201d is undefined.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"lines b and $$y = 2$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Line a and line $$y = 2$$ are horizontal lines on the graph. As a result, the slope of line a and line $$y = 2$$ is zero.<br>\r\nLine b and line $$x = \\\\;-\\\\;5$$ form a vertical line on the graph. As a result, the slope of \u201clines b and $$x = \\\\;-\\\\;5$$\u201d is undefined.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"lines a and $$x = \\\\;-\\\\;5$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Line a and line $$y = 2$$ are horizontal lines on the graph. As a result, the slope of line a and line $$y = 2$$ is zero.<br>\r\nLine b and line $$x = \\\\;-\\\\;5$$ form a vertical line on the graph. As a result, the slope of \u201clines b and $$x = \\\\;-\\\\;5$$\u201d is undefined.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"lines e and $$x = \\\\;-\\\\;5$$ \",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Line a and line $$y = 2$$ are horizontal lines on the graph. As a result, the slope of line a and line $$y = 2$$ is zero.<br>\r\nLine b and line $$x = \\\\;-\\\\;5$$ form a vertical line on the graph. As a result, the slope of \u201clines b and $$x = \\\\;-\\\\;5$$\u201d is undefined.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"lines a and $$y = 2$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Line a and line $$y = 2$$ are horizontal lines on the graph. As a result, the slope of line a and line $$y = 2$$ is zero.<br>\r\nLine b and line $$x = \\\\;-\\\\;5$$ form a vertical line on the graph. As a result, the slope of \u201clines b and $$x = \\\\;-\\\\;5$$\u201d is undefined.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Line a and line $$y = 2$$ are horizontal lines on the graph. As a result, the slope of line a and line $$y = 2$$ is zero.<br>\r\nLine b and line $$x = \\\\;-\\\\;5$$ form a vertical line on the graph. As a result, the slope of \u201clines b and $$x = \\\\;-\\\\;5$$\u201d is undefined.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"What would be the slope of the line that is parallel to the y-axis?\",\n                    \"text\": \"What would be the slope of the line that is parallel to the y-axis?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Undefined slope refers to the slope of vertical lines.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Zero\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Undefined slope refers to the slope of vertical lines.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$1$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Undefined slope refers to the slope of vertical lines.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$-\\\\;1$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Undefined slope refers to the slope of vertical lines.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"Undefined\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Undefined slope refers to the slope of vertical lines.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Undefined slope refers to the slope of vertical lines.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Find the distance of a line from x-axis if it has zero slope and is passing through the point $$(4,\\\\; 5)$$.\",\n                    \"text\": \"Find the distance of a line from x-axis if it has zero slope and is passing through the point $$(4,\\\\; 5)$$.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"The line with zero slopes is parallel to the x-axis. Thus, the distance of the line from x-axis $$=$$ y-coordinate $$=$$ 5 units\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"7 units\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The line with zero slopes is parallel to the x-axis. Thus, the distance of the line from x-axis $$=$$ y-coordinate $$=$$ 5 units\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"2 units\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The line with zero slopes is parallel to the x-axis. Thus, the distance of the line from x-axis $$=$$ y-coordinate $$=$$ 5 units\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"4 units\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The line with zero slopes is parallel to the x-axis. Thus, the distance of the line from x-axis $$=$$ y-coordinate $$=$$ 5 units\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"5 units\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"The line with zero slopes is parallel to the x-axis. Thus, the distance of the line from x-axis $$=$$ y-coordinate $$=$$ 5 units\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"The line with zero slopes is parallel to the x-axis. Thus, the distance of the line from x-axis $$=$$ y-coordinate $$=$$ 5 units\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"A line which makes an angle of 90 degrees with the positive direction of the x-axis has _____________.\",\n                    \"text\": \"A line which makes an angle of 90 degrees with the positive direction of the x-axis has _____________.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"A line that makes an angle of 90 degrees with the positive direction of the x-axis has an undefined slope.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"zero slope\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"A line that makes an angle of 90 degrees with the positive direction of the x-axis has an undefined slope.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"positive slope\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"A line that makes an angle of 90 degrees with the positive direction of the x-axis has an undefined slope.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"negative slope\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"A line that makes an angle of 90 degrees with the positive direction of the x-axis has an undefined slope.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"undefined slope\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"A line that makes an angle of 90 degrees with the positive direction of the x-axis has an undefined slope.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"A line that makes an angle of 90 degrees with the positive direction of the x-axis has an undefined slope.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"The line $$y = 6$$ has _____ slope.\",\n                    \"text\": \"The line $$y = 6$$ has _____ slope.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"$$y = 6$$ is a horizontal line, parallel to the x-axis. Thus, it has zero slope.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"negative\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$y = 6$$ is a horizontal line, parallel to the x-axis. Thus, it has zero slope.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"undefined\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$y = 6$$ is a horizontal line, parallel to the x-axis. Thus, it has zero slope.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"positive\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$y = 6$$ is a horizontal line, parallel to the x-axis. Thus, it has zero slope.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"zero\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"$$y = 6$$ is a horizontal line, parallel to the x-axis. Thus, it has zero slope.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"$$y = 6$$ is a horizontal line, parallel to the x-axis. Thus, it has zero slope.\"\n                      }\n                    } \n\n                    }]}<\/script><\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"20-frequently-asked-questions-on-zero-slope\">Frequently Asked Questions On Zero Slope<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-45ba1145-01be-472f-be00-82b10124165e\" data-mobilecollapse=\"true\" data-desktopcollapse=\"true\">\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-0-45ba1145-01be-472f-be00-82b10124165e\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-45ba1145-01be-472f-be00-82b10124165e\">How can we identify a line with a zero slope?<\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-0-45ba1145-01be-472f-be00-82b10124165e\">\n\n<p class=\"eplus-wrapper\">A line with zero slope is a perfectly horizontal line parallel to the x-axis..<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-1-45ba1145-01be-472f-be00-82b10124165e\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-45ba1145-01be-472f-be00-82b10124165e\"><strong>Do lines that are parallel have the same slope?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-1-45ba1145-01be-472f-be00-82b10124165e\">\n\n<p class=\"eplus-wrapper\">For two or more parallel lines, the rise to run ratio is equivalent. Thus, the slope of parallel lines is the same.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-2-45ba1145-01be-472f-be00-82b10124165e\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-45ba1145-01be-472f-be00-82b10124165e\"><strong>What will be the slope of the y-axis?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-2-45ba1145-01be-472f-be00-82b10124165e\">\n\n<p class=\"eplus-wrapper\">The slope of y-axis is not defined.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-3-45ba1145-01be-472f-be00-82b10124165e\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-45ba1145-01be-472f-be00-82b10124165e\"><strong>What happens to the line&#8217;s behavior when the slope is zero?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-3-45ba1145-01be-472f-be00-82b10124165e\">\n\n<p class=\"eplus-wrapper\">Zero slope indicates that the line is horizontal; it does not rise or fall as we move from left to right.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-4-45ba1145-01be-472f-be00-82b10124165e\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-45ba1145-01be-472f-be00-82b10124165e\"><strong>Are the slopes of two perpendicular lines equal?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-4-45ba1145-01be-472f-be00-82b10124165e\">\n\n<p class=\"eplus-wrapper\">No, the slope of two perpendicular lines are not the same. However, their product is -1.<\/p>\n\n<\/div><\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>What Is a Zero Slope in Math? Slope is a measurement of the rate of change. Have you ever wondered what the term \u201czero slope\u201d means? In this case, you have come to the right place. In this article, we define zero slope and discuss what it means in geometry. To help you understand how &#8230; <a title=\"Zero Slope &#8211; Definition, Types, Graph, Equation, Examples\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/zero-slope\" aria-label=\"More on Zero Slope &#8211; Definition, Types, Graph, Equation, Examples\">Read more<\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"ub_ctt_via":"","footnotes":""},"categories":[1],"tags":[],"class_list":["post-26644","post","type-post","status-publish","format-standard","hentry","category-all"],"featured_image_src":null,"author_info":{"display_name":"Mithun Jhawar","author_link":"https:\/\/www.splashlearn.com\/math-vocabulary\/author\/mithun-jhawarsplashlearn-com\/"},"acf":[],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/26644","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/comments?post=26644"}],"version-history":[{"count":9,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/26644\/revisions"}],"predecessor-version":[{"id":39897,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/26644\/revisions\/39897"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=26644"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=26644"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=26644"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}