{"id":29515,"date":"2023-05-29T15:54:47","date_gmt":"2023-05-29T15:54:47","guid":{"rendered":"https:\/\/www.splashlearn.com\/math-vocabulary\/?page_id=29515"},"modified":"2024-02-05T09:09:38","modified_gmt":"2024-02-05T09:09:38","slug":"x-intercept-definition-formula-graph-examples","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/x-intercept","title":{"rendered":"X Intercept &#8211; Definition, Formula, Graph, 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-3be7b121-8e14-46b1-9fbe-7da8c47ca5cc\" 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\/x-intercept#0-what-is-x%E2%80%93intercept>What Is X\u2013intercept?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/x-intercept#3-x-intercept-formula>X-Intercept Formula<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/x-intercept#4-how-to-find-the-x-intercept>How to Find the X-Intercept<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/x-intercept#7-solved-examples-on-x-intercept>Solved Examples on X-intercept<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/x-intercept#8-practice-problems-on-x-intercept>Practice Problems on X-intercept<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/x-intercept#9-frequently-asked-questions-on-x-intercept>Frequently Asked Questions on X-intercept<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading\" id=\"0-what-is-x%E2%80%93intercept\">What Is X\u2013intercept?<\/h2>\n\n\n\n<p><strong>The x-intercept is a point where the graph of a function or a curve intersects with the x-axis of the coordinate system.<\/strong><\/p>\n\n\n\n<p>So, what does x-intercept mean on the <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/coordinate-plane\">Cartesian plane<\/a>? The value of the x-coordinate of a point where the value of y-coordinate is equal to zero is known as the x\u2013intercept. The x-intercept is also called \u201chorizontal intercept.\u201d<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"364\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/x-intercept-of-a-line-and-x-intercept-of-a-function.png\" alt=\"x-intercept of a line and x-intercept of a function\" class=\"wp-image-35725\" title=\"x-intercept of a line and x-intercept of a function\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/x-intercept-of-a-line-and-x-intercept-of-a-function.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/x-intercept-of-a-line-and-x-intercept-of-a-function-300x176.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\/add-mixed-numbers\" 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_mixed_num_pt.png\" alt=\"Add Mixed Numbers 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 Mixed Numbers 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-fraction-to-the-mixed-number\" 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_mixed_num_and_frac_pt.png\" alt=\"Add the Fraction to the Mixed Number 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 Fraction to the Mixed Number 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\/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 class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/choose-the-correct-expression\" 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_reprsnt_sub_2_w10_pt.png\" alt=\"Choose the Correct Expression 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\">Choose the Correct Expression 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\/choose-the-correct-product-for-the-multiplication-expressions\" 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_mult_match_4dby1d_fluently_pt.png\" alt=\"Choose the Correct Product for the Multiplication Expressions 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\">Choose the Correct Product for the Multiplication Expressions 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\/choose-the-fraction-equivalent-of-the-mixed-number\" 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_select_equi_exp_pt.png\" alt=\"Choose the Fraction Equivalent of the Mixed Number 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\">Choose the Fraction Equivalent of the Mixed Number 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\/choose-the-multiplication-expression-representing-fraction-models\" 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_represent_mult_unit_by_whole_pt.png\" alt=\"Choose the Multiplication Expression Representing Fraction Models 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\">Choose the Multiplication Expression Representing Fraction Models 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\/choose-the-next-number-in-the-counting-sequence\" 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\/count_comp_count_forward_w5_pt.png\" alt=\"Choose the Next Number in the Counting Sequence 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\">Choose the Next Number in the Counting Sequence 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\/choose-the-sum-of-the-mixed-number-and-the-fraction\" 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_mixed_num_and_frac_models_pt.png\" alt=\"Choose the Sum of the Mixed Number and the Fraction 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\">Choose the Sum of the Mixed Number and the Fraction 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-x-intercept-definition\">X-Intercept Definition<\/h2>\n\n\n\n<p>For any line or a curve, the point at which the graph cuts the x-axis is called the x-intercept. For the <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/x-coordinate\">x-coordinate<\/a>, the value of the <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/y-coordinate\">y-coordinate<\/a> is zero.<\/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-mixed-numbers-and-fractions-using-area-models\" 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-mixed-numbers-and-fractions-using-area-models.jpeg\" alt=\"Add Mixed Numbers and Fractions using Area Models 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\/add-mixed-numbers-and-fractions-using-models\" 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-mixed-numbers-and-fractions-using-models.jpeg\" alt=\"Add Mixed Numbers and Fractions using Models 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\/add-mixed-numbers-using-models\" 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-mixed-numbers-using-models.jpeg\" alt=\"Add Mixed Numbers Using Models 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\/add-mixed-numbers-using-visual-models\" 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-mixed-numbers-using-visual-models.jpeg\" alt=\"Add Mixed Numbers Using Visual Models 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\/add-mixed-numbers-without-models\" 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-mixed-numbers-without-models.jpeg\" alt=\"Add Mixed Numbers Without Models 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\/add-the-given-mixed-number-repeatedly\" 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-the-given-mixed-number-repeatedly.jpeg\" alt=\"Add the Given Mixed Number Repeatedly 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\/adding-fractions-mixed-numbers-word-problems\" 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\/adding-fractions-mixed-numbers-word-problems.jpeg\" alt=\"Adding Fractions & Mixed Numbers Word Problems 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\/adding-mixed-numbers-using-models\" 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\/adding-mixed-numbers-using-models.jpeg\" alt=\"Adding Mixed Numbers using Models 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\/adding-mixed-numbers-using-visual-models\" 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\/adding-mixed-numbers-using-visual-models.jpeg\" alt=\"Adding Mixed Numbers using Visual Models 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\/adding-mixed-numbers-word-problems\" 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\/adding-mixed-numbers-word-problems.jpeg\" alt=\"Adding Mixed Numbers Word Problems 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 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     checkScrollPosition();\n            slidesContainer.addEventListener(\"scroll\", checkScrollPosition);\n        });\n    <\/script><h2 class=\"wp-block-heading\" id=\"2-x-intercept-on-a-graph\">X-Intercept on a Graph<\/h2>\n\n\n\n<p>Let\u2019s understand how to find x intercept on a <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/graph\">graph<\/a>. X-intercept is a point where the line crosses the x-axis.<\/p>\n\n\n\n<p>Consider the line shown in the graph below. The line cuts the x-axis at point (5,0). Thus, the x-intercept of the line is 5.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"726\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/x-intercept-of-a-line.png\" alt=\"x-intercept of a line\" class=\"wp-image-35727\" title=\"x-intercept of a line\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/x-intercept-of-a-line.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/x-intercept-of-a-line-256x300.png 256w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"3-x-intercept-formula\">X-Intercept Formula<\/h2>\n\n\n\n<p>We can find the x-intercept by substituting $y = 0$ in the equation of line. Let\u2019s see how to get the x-intercept in terms of different forms of the equation of a line.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The general form of a straight line is given by $ax + by + c = 0$, where a,b,c are constants.&nbsp;<\/li>\n<\/ul>\n\n\n\n<p>If we substitute $y = 0$, we get<\/p>\n\n\n\n<p>$ax + b.0 + c = 0$<\/p>\n\n\n\n<p>$ax + c = 0$<\/p>\n\n\n\n<p>$ax = \\;-\\; c$<\/p>\n\n\n\n<p>$x = \\frac{- c}{a}$<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The slope-intercept form of a straight line is given by $y = mx + c$, where m is the slope of the line and c is the y-intercept.&nbsp;<\/li>\n<\/ul>\n\n\n\n<p>If we substitute $y = 0$, we get<\/p>\n\n\n\n<p>$0 = mx + c$<\/p>\n\n\n\n<p>$-\\;c = mx$<\/p>\n\n\n\n<p>$x = \\;-cm$<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The point-slope form of a straight line is given by $y\\;-\\;b = m(x\\;-\\;a)$, where m is the slope of the line and (a,b) is a point on the line.<\/li>\n<\/ul>\n\n\n\n<p>If we substitute $y = 0$, we get<\/p>\n\n\n\n<p>$0\\;-\\;b = m(x\\;-\\;a)$<\/p>\n\n\n\n<p>$\\;-\\;b = mx\\;-\\;am$<\/p>\n\n\n\n<p>$am\\;-\\;b = mx$<\/p>\n\n\n\n<p>$x = \\frac{am\\;-\\;b}{m}$<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The intercept form of a straight line is given by $\\frac{x}{a} + \\frac{y}{b} = 1$, where a is its x-intercept and b is its y-intercept.<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"4-how-to-find-the-x-intercept\">How to Find the X-Intercept<\/h2>\n\n\n\n<p>Let\u2019s discuss three methods to find the x-intercept.<\/p>\n\n\n\n<p><strong>Finding X-intercept Using the Graph<\/strong><\/p>\n\n\n\n<p>Let\u2019s understand how to find x-intercept on a graph. Consider the graph of a line given below:<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"776\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/finding-the-x-intercept-using-the-graph.jpeg\" alt=\"Finding the x-intercept using the graph\" class=\"wp-image-35728\" title=\"Finding the x-intercept using the graph\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/finding-the-x-intercept-using-the-graph.jpeg 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/finding-the-x-intercept-using-the-graph-240x300.jpeg 240w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p>We can find the x-intercept from the graph by finding the point where the line touches the x-axis.&nbsp;<\/p>\n\n\n\n<p>In this case, the line cuts the x-axis at 7.<\/p>\n\n\n\n<p>So, x-intercept $= 7$<\/p>\n\n\n\n<p><strong>Finding X-intercept Using the Equation of a Line<\/strong><\/p>\n\n\n\n<p>The equation of a line is given by$ax + by + c = 0$.<\/p>\n\n\n\n<p>Suppose we have a equation of a line $3x + 4y = 12$.<\/p>\n\n\n\n<p>On converting it into general form, we get $3x + 4y\\;-\\;12 = 0$<\/p>\n\n\n\n<p>x-intercept $= \\frac{-c}{a} = \\frac{-(-12)}{3} = 4$<\/p>\n\n\n\n<p><strong>Finding X-intercept Using the Quadratic Formula<\/strong><\/p>\n\n\n\n<p>The quadratic formula is given by: $ax^2 + bx + c = 0$<\/p>\n\n\n\n<p>We can find the x-intercept using the formula: $x = \\frac{-b \\pm \\sqrt{b^2 \\;-\\; 4ac}}{2a}$<\/p>\n\n\n\n<p><strong>Example:<\/strong>&nbsp; $x^2\\;-\\;5x + 6 = 0$<\/p>\n\n\n\n<p>Here, $a = 1,b = \\;-\\;5, c = 6$<\/p>\n\n\n\n<p>$x = \\frac{5 \\pm \\sqrt{25 \\;-\\; 24}}{2} = \\frac{5 \\pm 1}{2}$<\/p>\n\n\n\n<p>$x = \\frac{4}{2},\\;\\frac{6}{2}$<\/p>\n\n\n\n<p>$x = 2,\\;3$<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"5-finding-equation-of-a-line-using-x-intercept-and-slope\">Finding Equation of a Line Using X-Intercept and Slope<\/h2>\n\n\n\n<p>Let\u2019s understand how to find the equation of a line using x-intercept and slope with an example.<\/p>\n\n\n\n<p><strong>Example: <\/strong>Find the equation of a line with the slope = 3 and the x-intercept $= -4$.<\/p>\n\n\n\n<p>We know that the general equation of a line with slope m is given by<\/p>\n\n\n\n<p>&nbsp;$y = mx + b$<\/p>\n\n\n\n<p>Using the formula of the x-intercept<\/p>\n\n\n\n<p>$x = \\frac{-b}{m}$<\/p>\n\n\n\n<p>$-4 = \\frac{-b}{3}$<\/p>\n\n\n\n<p>$b = 12$<\/p>\n\n\n\n<p>On substituting the value of c and m, we have<\/p>\n\n\n\n<p>$y = 3x + 12$<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"6-facts-about-x-intercept\">Facts about X-intercept<\/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<p>A function may have one, 0, or many x-intercepts.The x-intercept is a point where the function crosses the x-axis. These points are also known as roots, zeros, and solutions.<\/p>\n<\/div><\/div>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"7-solved-examples-on-x-intercept\">Solved Examples on X-intercept<\/h2>\n\n\n\n<p><strong>1. Find the x-intercept of the line <\/strong>$5x\\;-\\;6y + 15 = 0$<strong>.<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong>&nbsp;<\/p>\n\n\n\n<p>The equation of the line of the form $ax + by + c = 0$ has the x-intercept as $\\frac{-c}{a}$.<\/p>\n\n\n\n<p>In $5x\\;-\\;6y + 15 = 0,\\; a = 5,\\; b = -6,\\; c = 15$<\/p>\n\n\n\n<p>x &#8211; intercept $= \\;-\\;ca = -155 = \\;-3$<\/p>\n\n\n\n<p><strong>Another way:<\/strong><\/p>\n\n\n\n<p>Simply substitute $y = 0$.<\/p>\n\n\n\n<p>$5x\\;-\\;6(0) + 15 = 0$<\/p>\n\n\n\n<p>$5x = -15$<\/p>\n\n\n\n<p>$x = &#8211; 3$<\/p>\n\n\n\n<p><strong>2. What is the x-intercept of the quadratic equation given by: <\/strong>$2x^2 + 7x\\;-\\;9 = 0$<strong>?<\/strong><\/p>\n\n\n\n<p><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p>The quadratic formula of the form <strong>ax<\/strong><strong>2<\/strong><strong>+bx+c=0<\/strong><strong> <\/strong>has the x-intercept as $x = \\frac{\\;-b\\pm \\sqrt{b^2 &#8211; 4ac}}{2a}$.<\/p>\n\n\n\n<p>Here, $a = 2,\\;b = 7,\\;c = -9$<\/p>\n\n\n\n<p>So, x &#8211; intercept $= \\frac{- \\pm \\sqrt{749\\;-\\;4\\times 2\\times (-9)}}{2\\times2} = \\frac{-7\\pm \\sqrt{49 + 72}}{2\\times2} = \\frac{-7\\pm\\sqrt{121}}{4} = \\frac{-7\\pm11}{4}$<\/p>\n\n\n\n<p>$x = \\frac{\\;-\\;7\\;-\\;11}{2},\\;\\frac{\\;-\\;7+11}{2}$<\/p>\n\n\n\n<p>$x = \\frac{-18}{2},\\; \\frac{4}{2} = \\;-9,\\;2$<\/p>\n\n\n\n<p><strong>3. Find the equation of the line if slope <\/strong>$= 6$<strong> and the x-intercept <\/strong>$= 7$<strong>.<\/strong><\/p>\n\n\n\n<p><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p>We know that the general equation of a line with slope m is given by: $y = mx + c$. Using the formula of the x-intercept<\/p>\n\n\n\n<p>$x = \\frac{-c}{m}$<\/p>\n\n\n\n<p>$7 = \\frac{-c}{6}$<\/p>\n\n\n\n<p>$c = -\\;42$<\/p>\n\n\n\n<p>On substituting the value of c and m, we have,<\/p>\n\n\n\n<p>$y = 6x\\;-\\;42$<\/p>\n\n\n\n<p><strong>4. Find <\/strong><strong>the x-intercept of a line passing through points <\/strong><strong>(2,3)<\/strong><strong> and <\/strong><strong>(4,7)<\/strong><strong>?<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong>&nbsp;<\/p>\n\n\n\n<p>The slope of the line passing through the points (2, 3) and (4, 7) is&nbsp;<\/p>\n\n\n\n<p>$m = \\frac{7 \\;-\\; 3}{4 \\;-\\; 2} = \\frac{4}{2} = 2$<\/p>\n\n\n\n<p>The equation of the line is: $y\\;\u2212\\;b = m (x\\;\u2212\\;a)$<\/p>\n\n\n\n<p>$y\\;\u2212\\;7 = 2(x\\;\u2212\\;4)$<\/p>\n\n\n\n<p>Substituting $y = 0$, we get<\/p>\n\n\n\n<p>$\\;-\\;7 = 2(x\\;-\\;4)$<\/p>\n\n\n\n<p>$\\frac{-7}{2} + 4 = x$<\/p>\n\n\n\n<p>$x = \\frac{-7 + 8}{2} = \\frac{1}{2}$<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"8-practice-problems-on-x-intercept\">Practice Problems on X-intercept<\/h2>\n\n\n\n<div class=\"spq_wrapper\"><h2 style=\"display:none;\">X Intercept - Definition, Formula, Graph, 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\">We can find the x-intercept by<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">substituting $x = 0$ in the equation of the line.<\/div><div class=\"spq_answer_block\" data-value=\"1\">substituting $y = 0$ in the equation of the line.<\/div><div class=\"spq_answer_block\" data-value=\"2\">substituting $x = y$ in the equation of the line.<\/div><div class=\"spq_answer_block\" data-value=\"3\">substituting $y = 1$ in the equation of the line.<\/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: substituting $y = 0$ in the equation of the line.<br\/>We can find the x-intercept by substituting $y = 0$ in the equation of the line.<\/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\">The equation of line with slope $\u2013\\; 3$ and x-intercept 5 is<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$y = 3x\\;-\\;15$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$y = 5x + 15$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$y = 3x + 15$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$y = 5x\\;-\\;3$<\/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: $y = 3x + 15$<br\/>We know that the general equation of a line with slope m and y-intercept b is given by: $y = mx + b$.<br>\r\nUsing the formula of the x-intercept<br>\r\n$5 = \\frac{-b}{-3}$<br>\r\n$b = 15$<br>\r\nOn substituting the value of c and m we have,<br>\r\n$y = 3x + 15$<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"3\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">3<\/span><h3 class=\"sqp_question_text\">In the graph given below, what is the x-intercept?<\/h3><\/span><div class=\"spq_question_image\"><img decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/05\/Practice-Problems-3.png\"><\/div><div class=\"spq_answer_block\" data-value=\"0\">$-1$<\/div><div class=\"spq_answer_block\" data-value=\"1\">2<\/div><div class=\"spq_answer_block\" data-value=\"2\">0<\/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: 1<br\/>The line cuts the x axis at (1,0). So, the x intercept is 1.<\/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 x-intercept of $\\frac{x}{3} + \\frac{y}{7} = 1$?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">3<\/div><div class=\"spq_answer_block\" data-value=\"1\">7<\/div><div class=\"spq_answer_block\" data-value=\"2\">1<\/div><div class=\"spq_answer_block\" data-value=\"3\">21<\/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: 3<br\/>In the intercept form of the equation of a line $\\frac{x}{a} + \\frac{y}{b} = 1$, the x-intercept is given by (a,0).<br>\r\nHere, $a = 3,\\;b = 7$<br>\r\nSo, x-intercept is 3.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">5<\/span><h3 class=\"sqp_question_text\">Find the x-intercept for $y\\;-\\;3 = 2(x\\;-\\;4)$<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">4<\/div><div class=\"spq_answer_block\" data-value=\"1\">$\\frac{5}{2}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$-3$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$\\frac{2}{3}$<\/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: $\\frac{5}{2}$<br\/>Put $y = 0$<br>\r\n$-3 = 2(x\\;-\\;4)$<br>\r\n$-3 = 2x\\;-\\;8$<br>\r\n$2x = 5$<br>\r\n$x = \\frac{5}{2}$<\/span><\/div><\/div><\/div><\/div>  <script type=\"application\/ld+json\">{\n        \"@context\": \"https:\/\/schema.org\/\", \n        \"@type\": 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    \"encodingFormat\": \"text\/html\",\n                                \"text\": \"substituting $$x = y$$ in the equation of the line.\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"We can find the x-intercept by substituting $$y = 0$$ in the equation of the line.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"substituting $$y = 1$$ in the equation of the line.\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"We can find the x-intercept by substituting $$y = 0$$ in the equation of the line.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"substituting $$y = 0$$ in the equation of the line.\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"We can find the x-intercept by substituting $$y = 0$$ in the equation of the line.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"We can find the x-intercept by substituting $$y = 0$$ in the equation of the line.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"The equation of line with slope $$\u2013\\\\; 3$$ and x-intercept 5 is\",\n                    \"text\": \"The equation of line with slope $$\u2013\\\\; 3$$ and x-intercept 5 is\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"We know that the general equation of a line with slope m and y-intercept b is given by: $$y = mx + b$$.<br>\r\nUsing the formula of the x-intercept<br>\r\n$$5 = \\\\frac{-b}{-3}$$<br>\r\n$$b = 15$$<br>\r\nOn substituting the value of c and m we have,<br>\r\n$$y = 3x + 15$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$y = 3x\\\\;-\\\\;15$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"We know that the general equation of a line with slope m and y-intercept b is given by: $$y = mx + b$$.<br>\r\nUsing the formula of the x-intercept<br>\r\n$$5 = \\\\frac{-b}{-3}$$<br>\r\n$$b = 15$$<br>\r\nOn substituting the value of c and m we have,<br>\r\n$$y = 3x + 15$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$y = 5x + 15$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"We know that the general equation of a line with slope m and y-intercept b is given by: $$y = mx + b$$.<br>\r\nUsing the formula of the x-intercept<br>\r\n$$5 = \\\\frac{-b}{-3}$$<br>\r\n$$b = 15$$<br>\r\nOn substituting the value of c and m we have,<br>\r\n$$y = 3x + 15$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$y = 5x\\\\;-\\\\;3$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"We know that the general equation of a line with slope m and y-intercept b is given by: $$y = mx + b$$.<br>\r\nUsing the formula of the x-intercept<br>\r\n$$5 = \\\\frac{-b}{-3}$$<br>\r\n$$b = 15$$<br>\r\nOn substituting the value of c and m we have,<br>\r\n$$y = 3x + 15$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$y = 3x + 15$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"We know that the general equation of a line with slope m and y-intercept b is given by: $$y = mx + b$$.<br>\r\nUsing the formula of the x-intercept<br>\r\n$$5 = \\\\frac{-b}{-3}$$<br>\r\n$$b = 15$$<br>\r\nOn substituting the value of c and m we have,<br>\r\n$$y = 3x + 15$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"We know that the general equation of a line with slope m and y-intercept b is given by: $$y = mx + b$$.<br>\r\nUsing the formula of the x-intercept<br>\r\n$$5 = \\\\frac{-b}{-3}$$<br>\r\n$$b = 15$$<br>\r\nOn substituting the value of c and m we have,<br>\r\n$$y = 3x + 15$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"In the graph given below, what is the x-intercept?\",\n                    \"text\": \"In the graph given below, what is the x-intercept? <img src=\\\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/05\/Practice-Problems-3.png\\\"\/>\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"The line cuts the x axis at (1,0). So, the x intercept is 1.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$-1$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The line cuts the x axis at (1,0). So, the x intercept is 1.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"2\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The line cuts the x axis at (1,0). So, the x intercept is 1.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"0\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The line cuts the x axis at (1,0). So, the x intercept is 1.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"1\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"The line cuts the x axis at (1,0). So, the x intercept is 1.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"The line cuts the x axis at (1,0). So, the x intercept is 1.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"What will be the x-intercept of $$\\\\frac{x}{3} + \\\\frac{y}{7} = 1$$?\",\n                    \"text\": \"What will be the x-intercept of $$\\\\frac{x}{3} + \\\\frac{y}{7} = 1$$?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"In the intercept form of the equation of a line $$\\\\frac{x}{a} + \\\\frac{y}{b} = 1$$, the x-intercept is given by (a,0).<br>\r\nHere, $$a = 3,\\\\;b = 7$$<br>\r\nSo, x-intercept is 3.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"7\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"In the intercept form of the equation of a line $$\\\\frac{x}{a} + \\\\frac{y}{b} = 1$$, the x-intercept is given by (a,0).<br>\r\nHere, $$a = 3,\\\\;b = 7$$<br>\r\nSo, x-intercept is 3.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"1\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"In the intercept form of the equation of a line $$\\\\frac{x}{a} + \\\\frac{y}{b} = 1$$, the x-intercept is given by (a,0).<br>\r\nHere, $$a = 3,\\\\;b = 7$$<br>\r\nSo, x-intercept is 3.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"21\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"In the intercept form of the equation of a line $$\\\\frac{x}{a} + \\\\frac{y}{b} = 1$$, the x-intercept is given by (a,0).<br>\r\nHere, $$a = 3,\\\\;b = 7$$<br>\r\nSo, x-intercept is 3.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"3\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"In the intercept form of the equation of a line $$\\\\frac{x}{a} + \\\\frac{y}{b} = 1$$, the x-intercept is given by (a,0).<br>\r\nHere, $$a = 3,\\\\;b = 7$$<br>\r\nSo, x-intercept is 3.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"In the intercept form of the equation of a line $$\\\\frac{x}{a} + \\\\frac{y}{b} = 1$$, the x-intercept is given by (a,0).<br>\r\nHere, $$a = 3,\\\\;b = 7$$<br>\r\nSo, x-intercept is 3.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Find the x-intercept for $$y\\\\;-\\\\;3 = 2(x\\\\;-\\\\;4)$$\",\n                    \"text\": \"Find the x-intercept for $$y\\\\;-\\\\;3 = 2(x\\\\;-\\\\;4)$$\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Put $$y = 0$$<br>\r\n$$-3 = 2(x\\\\;-\\\\;4)$$<br>\r\n$$-3 = 2x\\\\;-\\\\;8$$<br>\r\n$$2x = 5$$<br>\r\n$$x = \\\\frac{5}{2}$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"4\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Put $$y = 0$$<br>\r\n$$-3 = 2(x\\\\;-\\\\;4)$$<br>\r\n$$-3 = 2x\\\\;-\\\\;8$$<br>\r\n$$2x = 5$$<br>\r\n$$x = \\\\frac{5}{2}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$-3$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Put $$y = 0$$<br>\r\n$$-3 = 2(x\\\\;-\\\\;4)$$<br>\r\n$$-3 = 2x\\\\;-\\\\;8$$<br>\r\n$$2x = 5$$<br>\r\n$$x = \\\\frac{5}{2}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{2}{3}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Put $$y = 0$$<br>\r\n$$-3 = 2(x\\\\;-\\\\;4)$$<br>\r\n$$-3 = 2x\\\\;-\\\\;8$$<br>\r\n$$2x = 5$$<br>\r\n$$x = \\\\frac{5}{2}$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$\\\\frac{5}{2}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Put $$y = 0$$<br>\r\n$$-3 = 2(x\\\\;-\\\\;4)$$<br>\r\n$$-3 = 2x\\\\;-\\\\;8$$<br>\r\n$$2x = 5$$<br>\r\n$$x = \\\\frac{5}{2}$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Put $$y = 0$$<br>\r\n$$-3 = 2(x\\\\;-\\\\;4)$$<br>\r\n$$-3 = 2x\\\\;-\\\\;8$$<br>\r\n$$2x = 5$$<br>\r\n$$x = \\\\frac{5}{2}$$\"\n                      }\n                    } \n\n                    }]}<\/script>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"9-frequently-asked-questions-on-x-intercept\">Frequently Asked Questions on X-intercept<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-3a8962ce-89d2-43cd-ac28-b462995dfd9d\" 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-0-3a8962ce-89d2-43cd-ac28-b462995dfd9d\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-3a8962ce-89d2-43cd-ac28-b462995dfd9d\"><strong>Can x-intercept be 0?<\/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-0-3a8962ce-89d2-43cd-ac28-b462995dfd9d\">\n\n<p>Yes, the x-intercept is 0 for the line of the form $y = mx$, where m is the slope of the line.<\/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-1-3a8962ce-89d2-43cd-ac28-b462995dfd9d\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-3a8962ce-89d2-43cd-ac28-b462995dfd9d\"><strong>What is the difference between x-intercept and y-intercept?<\/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-1-3a8962ce-89d2-43cd-ac28-b462995dfd9d\">\n\n<p>The x-intercept is the point where the graph cuts the x-axis, whereas y-intercept is the the point at which the graph cuts the y-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-2-3a8962ce-89d2-43cd-ac28-b462995dfd9d\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-3a8962ce-89d2-43cd-ac28-b462995dfd9d\"><strong>How to find the y-intercept of a line using the equation?<\/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-2-3a8962ce-89d2-43cd-ac28-b462995dfd9d\">\n\n<p>To find the y-intercept, simply put $x = 0$ in the equation of the line and solve for x.<\/p>\n\n<\/div><\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>What Is X\u2013intercept? The x-intercept is a point where the graph of a function or a curve intersects with the x-axis of the coordinate system. So, what does x-intercept mean on the Cartesian plane? The value of the x-coordinate of a point where the value of y-coordinate is equal to zero is known as the &#8230; <a title=\"X Intercept &#8211; Definition, Formula, Graph, Examples\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/x-intercept\" aria-label=\"More on X Intercept &#8211; Definition, Formula, Graph, 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-29515","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\/29515","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=29515"}],"version-history":[{"count":11,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/29515\/revisions"}],"predecessor-version":[{"id":39893,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/29515\/revisions\/39893"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=29515"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=29515"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=29515"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}