{"id":32782,"date":"2023-08-08T21:24:00","date_gmt":"2023-08-08T21:24:00","guid":{"rendered":"https:\/\/www.splashlearn.com\/math-vocabulary\/?page_id=32782"},"modified":"2023-08-08T21:55:40","modified_gmt":"2023-08-08T21:55:40","slug":"slope-intercept-form-definition-formula-facts-examples","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/slope-intercept-form-of-a-line","title":{"rendered":"Slope Intercept Form &#8211; Definition, Formula, Facts, 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-8eae7ae2-fe07-4f3b-a46b-1740d9ea4990\" 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\/slope-intercept-form-of-a-line#0-what-is-the-slope-intercept-form-of-a-straight-line>What Is the Slope-Intercept Form of a Straight Line?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/slope-intercept-form-of-a-line#2-slope-intercept-form-formula>Slope-Intercept Form: Formula<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/slope-intercept-form-of-a-line#6-converting-standard-form-to-slope-intercept-form>Converting Standard Form to slope-intercept Form<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/slope-intercept-form-of-a-line#9-solved-examples-of-slope-intercept%C2%A0-form-of-line>Solved Examples of Slope-Intercept\u00a0 Form of Line<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/slope-intercept-form-of-a-line#10-practice-problems-on-slope-intercept-form-of-a-line>Practice Problems on slope-intercept Form of a Line<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/slope-intercept-form-of-a-line#11-frequently-asked-questions-on-slope-intercept-form-of-a-line>Frequently Asked Questions on Slope-intercept Form of a Line<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading\" id=\"0-what-is-the-slope-intercept-form-of-a-straight-line\">What Is the Slope-Intercept Form of a Straight Line?<\/h2>\n\n\n\n<p><strong>The slope-intercept form of the equation of a straight line is used to write the equation of a <\/strong><a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/line\"><strong>line<\/strong><\/a><strong> using its slope and the y-intercept. It is usually given by <\/strong><a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/y-mx-b\">y = mx + b<\/a><strong>.<\/strong><\/p>\n\n\n\n<p>The slope of a line is given by the rise-over-run ratio. The y-intercept is the point where the line intersects with the Y-axis.<\/p>\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\/add-and-mark-the-sum-on-the-number-line\" 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_facts_where_sum_pt.png\" alt=\"Add and Mark the Sum on the Number Line 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\">Add and Mark the Sum on the Number Line 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\/add-fractions-with-the-aid-of-a-number-line\" 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\/fractions_add_like_frac_sum_greater_than_1_nl_pt.png\" alt=\"Add Fractions WIth the Aid of a Number LIne 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\">Add Fractions WIth the Aid of a Number LIne 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\/add-like-fractions-using-number-lines\" 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\/fractions_add_like_frac_sum_upto_1_nl_pt.png\" alt=\"Add Like Fractions using Number Lines 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\">Add Like Fractions using Number Lines 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\/add-multiples-of-100-in-unit-form\" 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_add_multiples_100_pt.png\" alt=\"Add Multiples of 100 in Unit Form 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\">Add Multiples of 100 in Unit Form 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\/add-the-mixed-number-and-the-fraction-on-a-number-line\" 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\/fractions_add_nl_pt.png\" alt=\"Add the Mixed Number and the Fraction on a Number Line 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\">Add the Mixed Number and the Fraction on a Number Line 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\/analyze-and-represent-data-using-line-plots\" 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\/data_analyze_represent_data_2_pt.png\" alt=\"Analyze and Represent Data Using Line Plots 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\">Analyze and Represent Data Using Line Plots 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\/analyze-data-using-line-plots\" 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\/data_analyze_data_2_pt.png\" alt=\"Analyze Data Using Line Plots 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\">Analyze Data Using Line Plots 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\/answer-how-many-more-or-less-using-line-plots\" 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\/data_less_more_lp_pt.png\" alt=\"Answer How Many More or Less using line plots 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\">Answer How Many More or Less using line plots 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\/change-decimals-from-word-form-to-fraction-form\" 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\/decimals_convert_words_to_frac_tenths_pt.png\" alt=\"Change Decimals from Word Form to Fraction Form 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\">Change Decimals from Word Form to Fraction Form 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\/change-expanded-to-standard-form\" 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\/place_value_expand_to_std_5d_pt.png\" alt=\"Change Expanded to Standard Form 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\">Change Expanded to Standard Form 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 = slidesContainer.querySelectorAll(\".game-card-container-outer\");\n            const scrollRightArrow = container.querySelector(\".scroll-right-arrow\");\n\n            function adjustContainerStyles() {\n                const numCards = cards.length;\n\n                if (numCards === 1) {\n                    container.style.maxWidth = \"30%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 2) {\n                    container.style.maxWidth = \"50%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 3) {\n                    container.style.maxWidth = \"75%\";\n                    container.style.textAlign = \"center\";\n                } else {\n                    container.style.maxWidth = \"\";\n                    container.style.textAlign = \"\";\n                }\n            }\n\n            function checkScrollPosition() {\n                const maxScrollLeft = 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\" id=\"1-slope-intercept-form-definition\">Slope-Intercept Form: Definition<\/h2>\n\n\n\n<p>The slope intercept form is a way of writing the equation of the straight line using the slope and the y-intercept of the line.<\/p>\n\n\n\n<p>The equation of a line with slope m and y-intercept b is written in the slope-intercept form as<\/p>\n\n\n\n<p>$y = mx + b$\u00a0<\/p>\n\n\n\n<p>where<\/p>\n\n\n\n<p>(x,y) represents the coordinates of any point on the line.<\/p>\n\n\n\n<p>However, the slope-intercept formula of the straight line cannot be used to write the equation of a vertical line because the slope of the vertical line is not defined.<\/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\/add-using-number-line\" 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\/add-using-number-line.jpeg\" alt=\"Add Using Number Line Worksheet\">\r\n\t    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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\/add-with-10-using-number-line.jpeg\" alt=\"Add with 10 Using Number Line\">\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\/addition-sentences-using-number-line\" 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\/addition-sentences-using-number-line.jpeg\" alt=\"Addition Sentences Using Number Line 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\/color-animals-and-trace-word-forms-within-10\" 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\/color-animals-and-trace-word-forms-within-10.jpeg\" alt=\"Color Animals and Trace Word Forms (Within 10)\">\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\/color-animals-and-trace-word-forms-within-5\" 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\/color-animals-and-trace-word-forms-within-5.jpeg\" alt=\"Color Animals and Trace Word Forms (Within 5)\">\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\/color-birds-and-trace-word-forms-within-10\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t  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(Within 5)\">\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\/color-dinosaurs-and-trace-word-forms-within-10\" 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\/color-dinosaurs-and-trace-word-forms-within-10.jpeg\" alt=\"Color Dinosaurs and Trace Word Forms (Within 10)\">\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\/color-dinosaurs-and-trace-word-forms-within-5\" 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});\n    <\/script><h2 class=\"wp-block-heading\" id=\"2-slope-intercept-form-formula\">Slope-Intercept Form: Formula<\/h2>\n\n\n\n<p>The equation of a straight line in the slope-intercept form is given by&nbsp;<\/p>\n\n\n\n<p>$y = mx + b$<\/p>\n\n\n\n<p>Where<\/p>\n\n\n\n<p><strong>m<\/strong> equals the slope<\/p>\n\n\n\n<p><strong>b <\/strong>represents the y-intercept of the straight line&nbsp;<\/p>\n\n\n\n<p><strong>(x,y)<\/strong> determines each point on the straight line and is considered as variable.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"3-derivation-of-formula-for-slope-intercept%C2%A0-form\">Derivation of Formula For Slope-Intercept\u00a0 Form<\/h2>\n\n\n\n<p>Let us assume that a line with a slope m has the y-intercept b. It means that the line intersects the y-axis at the point (0, b).<\/p>\n\n\n\n<p>Let (x,y) be another random point on the line.&nbsp;<\/p>\n\n\n\n<p>Thus, we have the coordinates of two points on the line.<\/p>\n\n\n\n<p>$(x_{1},\\; y_{1}) = (0,\\;b)$ and $(x_{2},\\; y_{2}) = (x,\\;y)$<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/lh6.googleusercontent.com\/1LmrpVJzVzwpIyiCwK0TQrSGq3Zw8bDwEhT4gNXHcm3-LSKFqprfBVR8_VHSdzA-JVHdDNOUQfZTtNh-6G1FrD1OiegrDGSrZMdpA-Q3NoUWFzgqYsxk7V4bhj-3LFuAthBX-JXDIiWTBvS0HKgPEKY\" alt=\"\"\/><\/figure>\n\n\n\n<p><em>Alt Text: Graphical representation of the slope-intercept form equation of a straight line.<\/em><\/p>\n\n\n\n<p>We know that the slope of a line passing through the points $(x_{1},\\; y_{1})$ and $(x_{2},\\; y_{2})$ is given by<\/p>\n\n\n\n<p>$m = \\frac{(y_{2}\\;-\\;y_{1})}{(x_{2}\\;-\\;x_{1})}$<\/p>\n\n\n\n<p>For $(x_{1},\\; y_{1}) = (0,\\;b)$ and $(x_{2},\\; y_{2}) = (x,\\;y)$, we can write<\/p>\n\n\n\n<p>$m = \\frac{(y \\;-\\; b)}{(x \\;-\\; 0)}$<\/p>\n\n\n\n<p>$m = \\frac{(y \\;-\\; b)}{x}$<\/p>\n\n\n\n<p>$mx = (y\\;-\\;b)$<\/p>\n\n\n\n<p>$y = mx + b$<\/p>\n\n\n\n<p>This is called the slope-intercept form of the equation of a straight line.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"4-slope-intercept-form-examples\">Slope-Intercept Form: Examples<\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Suppose the slope is $-2$ and the y-intercept is 5. The equation of the line is given by<\/li>\n<\/ul>\n\n\n\n<p>$y = \\;-\\;2x + 5$<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Slope $= 5$ and the line passes through the origin (0, 0). The equation of line is given by<\/li>\n<\/ul>\n\n\n\n<p>$y = 5x$<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"5-straight-line-equation-using-slope-intercept-form\">Straight Line Equation Using Slope-Intercept Form<\/h2>\n\n\n\n<p>To evaluate the line equation with an arbitrary inclination, two quantities are required, i.e.,&nbsp;<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Inclination\/slope of the line<\/li>\n\n\n\n<li>Arrangement of the line based on the coordinates of each point on the y-axis<\/li>\n<\/ul>\n\n\n\n<p>Lines can be formed using these two key parameters. Let us know the steps to evaluate <strong>what the slope-intercept form of a line is<\/strong>.<\/p>\n\n\n\n<p><strong>Step 1:<\/strong> Find the slope (m) of the line using the given information.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>If \u03b8 is the angle the line makes with the positive x-axis, the slope of the straight line = tan \u03b8.&nbsp;<\/li>\n\n\n\n<li>If $(x_{1},\\; y_{1})$ and $(x_{2},\\;y_{2})$ are two points on the line, then the slope of the straight line $= \\frac{(y_{2}\\;-\\;y_{1})}{(x_{2}\\;-\\;x_{1})}$.<\/li>\n<\/ul>\n\n\n\n<p><strong>Step 2:<\/strong> Note down the y-intercept (b).&nbsp;<\/p>\n\n\n\n<p><strong>Step 3:<\/strong> Substitute the values in the slope-intercept form $y = mx + b$ to find the equation of the straight line.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"6-converting-standard-form-to-slope-intercept-form\">Converting Standard Form to slope-intercept Form<\/h2>\n\n\n\n<p>A standard form equation of a line can easily be converted to the <strong>slope-intercept form<\/strong> by comparison and rearrangement of the points. Let us explore the standard equation represented as follows:<\/p>\n\n\n\n<p>$Ax + By + C = 0$\u00a0<\/p>\n\n\n\n<p>where A, B, C are constants;&nbsp;<\/p>\n\n\n\n<p>A, B cannot be simultaneously 0.<\/p>\n\n\n\n<p>Let\u2019s rewrite it as<\/p>\n\n\n\n<p>$By = \\;-\\; Ax\\;-\\;C$<\/p>\n\n\n\n<p>B rearranged from LHS to RHS, i.e., from multiplication to division on the other side, we get<\/p>\n\n\n\n<p>$y = (\\frac{-\\;A}{B})x + (\\frac{-\\;C}{B})$<\/p>\n\n\n\n<p>Therefore, we get<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>slope $= m = (\\frac{-\\;A}{B})$\u00a0<\/li>\n\n\n\n<li>y-intercept $= b = (\\frac{-\\;C}{B})$<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"7-facts-about-the-slope-intercept-form\">Facts about the Slope-Intercept Form<\/h2>\n\n\n\n<div style=\"color:#0369a1;background-color:#e0f2fe\" class=\"wp-block-roelmagdaleno-callout-block has-text-color has-background is-layout-flex wp-container-roelmagdaleno-callout-block-is-layout-8cf370e7 wp-block-roelmagdaleno-callout-block-is-layout-flex\"><div>\n<ul class=\"wp-block-list\">\n<li>The slope-intercept form is also written as $y = mx + c$, where m is the slope and c is the y-intercept.<\/li>\n\n\n\n<li>The slope-intercept form of the equation of a line having slope m and passing through the origin is\u00a0$y = mx$.<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"8-conclusion\">Conclusion<\/h2>\n\n\n\n<p>In this article, we learned about the slope-intercept form, which is used to find the equation of the straight line using the slope and the y-intercept. It is given by y = mx + b. We learned the formula, and its derivation. Let\u2019s solve a few examples and practice problems to master these concepts.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"9-solved-examples-of-slope-intercept%C2%A0-form-of-line\">Solved Examples of Slope-Intercept\u00a0 Form of Line<\/h2>\n\n\n\n<p><strong>1. Evaluate the straight line equation where slope <\/strong>$m = 4$<strong> passes via the point <\/strong>$(\\;-\\;1, \\;-\\;3)$<strong>.<\/strong><\/p>\n\n\n\n<p><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p>Let the equation of line be $y = mx + c$.<\/p>\n\n\n\n<p>Slope of the line is $m = 4$<\/p>\n\n\n\n<p>The line passes through the point $(\\;-\\;1,\\; -\\;3)$. Let\u2019s use it to find the y-intercept.<\/p>\n\n\n\n<p>Substitute $y = \\;-\\;3$ and $x = \\;-\\;1$ in $y = mx + c$.<\/p>\n\n\n\n<p>Putting the values in the above slope-intercept formula, we will obtain<\/p>\n\n\n\n<p>$\\;-\\;3 = 4(\\;-\\;1) + b$<\/p>\n\n\n\n<p>$\\;-\\;3 = \\;-\\;4 + b$<\/p>\n\n\n\n<p>$b = \\;-\\;3 + 4$<\/p>\n\n\n\n<p>$b = 1$<\/p>\n\n\n\n<p>Thus, we have $m = 4$ and $b = 1$.<\/p>\n\n\n\n<p>Using the slope-intercept form, we write the equation of the line as<\/p>\n\n\n\n<p>$y = 4x + 1$<\/p>\n\n\n\n<p><strong>2. Evaluate the equation of the straight line when <\/strong>$m = \\;-\\;2$<strong> and passes through the point <\/strong>$(3,\\; -\\;4)$<strong>.<\/strong><\/p>\n\n\n\n<p><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p>Let the equation of line be $y = mx + b$.<\/p>\n\n\n\n<p>The line passes through $(3,\\; -\\;4)$<strong>.<\/strong><\/p>\n\n\n\n<p>Thus, the point satisfies the equation.<\/p>\n\n\n\n<p>$-\\;4 = \\;-\\;2 (3) + b$<\/p>\n\n\n\n<p>$\\;-\\;4 = \\;-\\;6 + b$<\/p>\n\n\n\n<p>$b = \\;-\\;4 + 6$<\/p>\n\n\n\n<p>$b = 2$<\/p>\n\n\n\n<p>Thus, the y-intercept is 2.<\/p>\n\n\n\n<p>Therefore, the required slope-intercept form equation of the straight line will be written as $y = \\;-\\;2x + 2$<\/p>\n\n\n\n<p><strong>3.<\/strong> <strong>Write the equation of line <\/strong>$7x + 8y \\;-\\; 1 = 0$<strong> in the slope-intercept form. Find the slope and y-intercept.<\/strong><\/p>\n\n\n\n<p><strong>Solution:\u00a0<\/strong><\/p>\n\n\n\n<p>We want to write the equation of the line in the form $y = mx + b$.<\/p>\n\n\n\n<p>$7x + 8y \\;-\\; 1 = 0$<\/p>\n\n\n\n<p>$\\Rightarrow 8y = \\;-\\;7x + 1$<\/p>\n\n\n\n<p>$\\Rightarrow y = \\frac{-\\;7x}{8} + \\frac{1}{8}$<\/p>\n\n\n\n<p>The slope of the line is $\\frac{-\\;7x}{8}$.\u00a0<\/p>\n\n\n\n<p>The y-intercept is $\\frac{1}{8}$.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"10-practice-problems-on-slope-intercept-form-of-a-line\">Practice Problems on slope-intercept Form of a Line<\/h2>\n\n\n\n<div class=\"spq_wrapper\"><h2 style=\"display:none;\">Slope Intercept Form - Definition, Formula, Facts, Examples<\/h2><p style=\"display:none;\">Attend this quiz & Test your knowledge.<\/p><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">1<\/span><h3 class=\"sqp_question_text\">What is the slope-intercept form of a line formula?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$y = m + xb$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$y = x + mb$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$y = mx + b$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$y = mx \\times b$<\/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: $y = x + mb$<br\/>The slope-intercept form of a line is given by $y = mx + b$.<\/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\">If slope $= 1$ and y-intercept $= 1$, the equation of line is<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$y = 1$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$x + y = 1$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$y = x + 1$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$y = x \\;-\\; 1$<\/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: $y = x + 1$<br\/>Substitute $m = 1$ and $b = 1$ in $y = mx + b$, we get $y = x + 1$.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">3<\/span><h3 class=\"sqp_question_text\">The equation of a line with slope m and passing through the origin is<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$y = m + x$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$y = mx$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$y = m$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$my = x$<\/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: $y = mx$<br\/>The slope of a line with slope m that passes through the origin is  $y = mx$.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">4<\/span><h3 class=\"sqp_question_text\">What will be the y-intercept of equation $2x + 5y \\;-\\; 1 = 0$?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$\\frac{1}{5}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$\\frac{2}{5}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$-\\;\\frac{2}{5}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$-\\;\\frac{1}{5}$<\/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: $\\frac{1}{5}$<br\/>$5y = 1\\;-\\; 2x$<br>\r\n$y = \\frac{\\;-\\;2x}{5} + \\frac{1}{5}$<br>\r\nThus, y-intercept $= \\frac{1}{5}$<\/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\": \"Slope Intercept Form - Definition, Formula, Facts, Examples\",        \n     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                    \"text\": \"$$y = m + xb$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The slope-intercept form of a line is given by $$y = mx + b$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$y = mx + b$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The slope-intercept form of a line is given by $$y = mx + b$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n      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               \"text\": \"The slope-intercept form of a line is given by $$y = mx + b$$.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"If slope $$= 1$$ and y-intercept $$= 1$$, the equation of line is\",\n                    \"text\": \"If slope $$= 1$$ and y-intercept $$= 1$$, the equation of line is\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Substitute $$m = 1$$ and $$b = 1$$ in $$y = mx + b$$, we get $$y = x + 1$$.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$y = 1$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Substitute $$m = 1$$ and $$b = 1$$ in $$y = mx + b$$, we get $$y = x + 1$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$x + y = 1$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Substitute $$m = 1$$ and $$b = 1$$ in $$y = mx + b$$, we get $$y = x + 1$$.\"\n                                    }\n                                }, {\n                             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},\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Substitute $$m = 1$$ and $$b = 1$$ in $$y = mx + b$$, we get $$y = x + 1$$.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"The equation of a line with slope m and passing through the origin is\",\n                    \"text\": \"The equation of a line with slope m and passing through the origin is\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"The slope of a line with slope m that passes through the origin is  $$y = mx$$.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$y = m + x$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The slope of a line with slope m that passes through the origin is  $$y = mx$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$y = m$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The slope of a line with slope m that passes through the origin is  $$y = mx$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$my = x$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The slope of a line with slope m that passes through the origin is  $$y = mx$$.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$y = mx$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"The slope of a line with slope m that passes through the origin is  $$y = mx$$.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"The slope of a line with slope m that passes through the origin is  $$y = mx$$.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"What will be the y-intercept of equation $$2x + 5y \\\\;-\\\\; 1 = 0$$?\",\n                    \"text\": \"What will be the y-intercept of equation $$2x + 5y \\\\;-\\\\; 1 = 0$$?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"$$5y = 1\\\\;-\\\\; 2x$$<br>\r\n$$y = \\\\frac{\\\\;-\\\\;2x}{5} + \\\\frac{1}{5}$$<br>\r\nThus, y-intercept $$= \\\\frac{1}{5}$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{2}{5}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$5y = 1\\\\;-\\\\; 2x$$<br>\r\n$$y = \\\\frac{\\\\;-\\\\;2x}{5} + \\\\frac{1}{5}$$<br>\r\nThus, y-intercept $$= \\\\frac{1}{5}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$-\\\\;\\\\frac{2}{5}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$5y = 1\\\\;-\\\\; 2x$$<br>\r\n$$y = \\\\frac{\\\\;-\\\\;2x}{5} + \\\\frac{1}{5}$$<br>\r\nThus, y-intercept $$= \\\\frac{1}{5}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$-\\\\;\\\\frac{1}{5}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$5y = 1\\\\;-\\\\; 2x$$<br>\r\n$$y = \\\\frac{\\\\;-\\\\;2x}{5} + \\\\frac{1}{5}$$<br>\r\nThus, y-intercept $$= \\\\frac{1}{5}$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$\\\\frac{1}{5}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"$$5y = 1\\\\;-\\\\; 2x$$<br>\r\n$$y = \\\\frac{\\\\;-\\\\;2x}{5} + \\\\frac{1}{5}$$<br>\r\nThus, y-intercept $$= \\\\frac{1}{5}$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"$$5y = 1\\\\;-\\\\; 2x$$<br>\r\n$$y = \\\\frac{\\\\;-\\\\;2x}{5} + \\\\frac{1}{5}$$<br>\r\nThus, y-intercept $$= \\\\frac{1}{5}$$\"\n                      }\n                    } \n\n                    }]}<\/script>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"11-frequently-asked-questions-on-slope-intercept-form-of-a-line\">Frequently Asked Questions on Slope-intercept Form of a Line<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-003b0724-d28d-4e9a-8a35-8ea6122158d6\" 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-0-003b0724-d28d-4e9a-8a35-8ea6122158d6\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-003b0724-d28d-4e9a-8a35-8ea6122158d6\"><strong>When can we apply the slope-intercept form?<\/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-0-003b0724-d28d-4e9a-8a35-8ea6122158d6\">\n\n<p>We use the slope-intercept form to find the equation of the line when the slope and the y-intercept is known or can be calculated using the available information.<\/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-1-003b0724-d28d-4e9a-8a35-8ea6122158d6\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-003b0724-d28d-4e9a-8a35-8ea6122158d6\"><strong>What is the purpose of the slope in the slope-intercept form?<\/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-1-003b0724-d28d-4e9a-8a35-8ea6122158d6\">\n\n<p>The slope of the line determines if the line is increasing or decreasing and how steep it is established. It is denoted by m and represents how quickly y-axis coordinates change with the slight change in x-axis coordinates.<\/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-2-003b0724-d28d-4e9a-8a35-8ea6122158d6\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-003b0724-d28d-4e9a-8a35-8ea6122158d6\"><strong>How is the point-slope form different from the slope-intercept form?<\/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-2-003b0724-d28d-4e9a-8a35-8ea6122158d6\">\n\n<p>Slope-intercept form and point-slope form are two different forms to write the equation of a straight line.&nbsp;<\/p>\n\n\n\n<p>Point-slope form: $y \\;-\\; y_{1} = m(x \\;-\\; x_{1})$, where m the slope and $(x_{1},\\;y_{1})$ are the coordinates of any arbitrary point on the line.<\/p>\n\n\n\n<p>slope-intercept form: $y = mx + b$, where m the slope and b is the y-intercept.<\/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-3-003b0724-d28d-4e9a-8a35-8ea6122158d6\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-003b0724-d28d-4e9a-8a35-8ea6122158d6\"><strong>Why is slope-intercept form not used for vertical lines?<\/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-3-003b0724-d28d-4e9a-8a35-8ea6122158d6\">\n\n<p>The slope-intercept form is not used for vertical lines, as the slope of a vertical line 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-4-003b0724-d28d-4e9a-8a35-8ea6122158d6\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-003b0724-d28d-4e9a-8a35-8ea6122158d6\"><strong>What is the main advantage of the slope-intercept form?<\/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-4-003b0724-d28d-4e9a-8a35-8ea6122158d6\">\n\n<p>We can easily identify the slope and the y-intercept of the line by looking at the slope-intercept form.<\/p>\n\n<\/div><\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>What Is the Slope-Intercept Form of a Straight Line? The slope-intercept form of the equation of a straight line is used to write the equation of a line using its slope and the y-intercept. It is usually given by y = mx + b. The slope of a line is given by the rise-over-run ratio. &#8230; <a title=\"Slope Intercept Form &#8211; Definition, Formula, Facts, Examples\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/slope-intercept-form-of-a-line\" aria-label=\"More on Slope Intercept Form &#8211; Definition, Formula, Facts, 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-32782","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\/32782","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=32782"}],"version-history":[{"count":8,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/32782\/revisions"}],"predecessor-version":[{"id":32796,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/32782\/revisions\/32796"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=32782"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=32782"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=32782"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}