{"id":34309,"date":"2023-09-24T17:57:41","date_gmt":"2023-09-24T17:57:41","guid":{"rendered":"https:\/\/www.splashlearn.com\/math-vocabulary\/?page_id=34309"},"modified":"2023-09-24T18:14:07","modified_gmt":"2023-09-24T18:14:07","slug":"what-is-y-intercept-definition-formula-equation-examples","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/y-intercept","title":{"rendered":"What is Y Intercept? Definition, Formula, Equation, Examples"},"content":{"rendered":"<div class=\"aioseo-breadcrumbs\"><span class=\"aioseo-breadcrumb\">\n\tMath-Vocabulary\n<\/span><\/div>\n\n<div class=\"ub_table-of-contents\" data-showtext=\"show\" data-hidetext=\"hide\" data-scrolltype=\"auto\" id=\"ub_table-of-contents-50d7ce6f-0228-4121-91b6-92038708594a\" 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\/y-intercept#0-what-is-y-intercept>What Is Y-Intercept?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/y-intercept#2-y-intercept-formula>Y-Intercept Formula<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/y-intercept#3-y-intercept-of-a-straight-line>Y-Intercept of a Straight Line<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/y-intercept#8-solved-examples-on-y-intercept>Solved Examples on Y-Intercept<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/y-intercept#9-practice-problems-on-y-intercept>Practice Problems on Y-Intercept<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/y-intercept#10-frequently-asked-questions-about-y-intercept>Frequently Asked Questions about Y-intercept<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading\" id=\"0-what-is-y-intercept\">What Is Y-Intercept?<\/h2>\n\n\n\n<p><strong>The y-intercept of a graph is the point where the graph crosses the y-axis.&nbsp;<\/strong><\/p>\n\n\n\n<p>Since the y-intercept is a point on the y-axis, its x-coordinate is always 0. Thus, the coordinates of the y-intercept are of the form (0, y).<\/p>\n\n\n\n<p>Take a look at the y-intercept of a line on a graph shown<strong> <\/strong>below.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"419\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/graph-diagram-of-the-y-intercept.png\" alt=\"Graph diagram of the y-intercept\" class=\"wp-image-34312\" title=\"Graph diagram of the y-intercept\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/graph-diagram-of-the-y-intercept.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/graph-diagram-of-the-y-intercept-300x203.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p><strong>Note:&nbsp;<\/strong><\/p>\n\n\n\n<p>If the graph is the graph of a function, then it has at most one y-intercept. According to the vertical line test, a graph represents a function if and only if it crosses every vertical line only once. Considering the y-axis as one such vertical line, the graph of a function cannot have more than one y-intercept.<\/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-2-digit-numbers-by-regrouping\" 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_regrp_2d_2d_vertical_pt.png\" alt=\"Add 2-Digit Numbers By Regrouping 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 2-Digit Numbers By Regrouping 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-3-numbers-in-any-order\" 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_shifty_bridges_4_gm.png\" alt=\"Add 3 Numbers in Any Order 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 3 Numbers in Any Order 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-and-find-the-amount-of-money-in-given-word-problems\" 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\/measurement_add_word_prob_2_pt.png\" alt=\"Add and Find the Amount of Money in Given Word Problems 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 Find the Amount of Money in Given Word Problems 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 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href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-coins-of-different-types-and-compare\" 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\/money_is_amount_enough_2_pt.png\" alt=\"Add Coins of Different Types and Compare 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 Coins of Different Types and Compare 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 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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-y-intercept-definition\">Y-Intercept Definition<\/h2>\n\n\n\n<p>The point at which the graph function crosses the y-axis is called the y-intercept.&nbsp;<\/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\/5-and-how-many-more\" 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        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        const cards = slidesContainer.querySelectorAll(\".worksheet-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                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id=\"2-y-intercept-formula\">Y-Intercept Formula<\/h2>\n\n\n\n<p>The y intercept is of the form of (0, y). So, to find the y-intercept of a function, substitute x = 0 and solve for y.&nbsp;<\/p>\n\n\n\n<p><strong>Y-intercept example<\/strong>:<\/p>\n\n\n\n<p>Let the equation of a line be y=10x+4.<\/p>\n\n\n\n<p>Substitute x = 0.<\/p>\n\n\n\n<p>y = 10(0) + 4<\/p>\n\n\n\n<p>y = 0 + 4<\/p>\n\n\n\n<p>y = 4<\/p>\n\n\n\n<p>Thus, the y-intercept of the line is (0, 4).<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"3-y-intercept-of-a-straight-line\">Y-Intercept of a Straight Line<\/h2>\n\n\n\n<p>The y-intercept of a straight line is the point where the line intersects the y-axis. A line has only one y-intercept.<\/p>\n\n\n\n<p><strong>Finding the y-Intercept of a Line using General Form<\/strong><\/p>\n\n\n\n<p>The general form of the equation of the straight line is <strong>ax+by+c=0<\/strong><\/p>\n\n\n\n<p>To find y-intercept, substitute x = 0 and solve for y.<\/p>\n\n\n\n<p>a(0)+ by + c =0<\/p>\n\n\n\n<p>0+ by + c =0<\/p>\n\n\n\n<p>by = -c<\/p>\n\n\n\n<p>$y = \\;-\\;\\frac{c}{b}$<\/p>\n\n\n\n<p>The y-intercept of a line <strong>ax + by + c = 0<\/strong>&nbsp; is (0, $\\frac{-c}{b}$) or simply&nbsp; $\\frac{-c}{b}$.<\/p>\n\n\n\n<p><strong>Finding the y-Intercept of a Line using Slope-Intercept Form<\/strong><\/p>\n\n\n\n<p>The slope-intercept form of the equation of the line is<strong> <\/strong><strong>y = mx + b<\/strong>, where m is the slope and b is the y-intercept of the line.<\/p>\n\n\n\n<p>To find y-intercept, substitute <strong>x<\/strong> = 0 and solve for y.<\/p>\n\n\n\n<p>y = mx + b<\/p>\n\n\n\n<p>y = m(0) + b<\/p>\n\n\n\n<p>y = b<\/p>\n\n\n\n<p>The y-intercept of the equation of a line in&nbsp; slope-intercept form is&nbsp; (0, b) or b.<\/p>\n\n\n\n<p><strong>Finding the y-Intercept of a Line using Point-Slope Form<\/strong><\/p>\n\n\n\n<p>The point-slope form of the equation of the line is given by (y &#8211; y<sub>1<\/sub>) = m(x &#8211; x<sub>1<\/sub>), where m is the slope of the line and (x<sub>1<\/sub>, y<sub>1<\/sub>) is a point on the line.<\/p>\n\n\n\n<p>To find y-intercept, substitute <strong>x<\/strong><strong> <\/strong>= 0 and solve for y.<\/p>\n\n\n\n<p>y- y<sub>1<\/sub> = m(0 &#8211; x<sub>1<\/sub>)<\/p>\n\n\n\n<p>y &#8211; y<sub>1<\/sub> = &#8211; mx<sub>1<\/sub><\/p>\n\n\n\n<p>y = &#8211; mx<sub>1<\/sub> &#8211; y<sub>1<\/sub><\/p>\n\n\n\n<p>y = y<sub>1<\/sub> &#8211; mx<sub>1<\/sub><\/p>\n\n\n\n<p>The y-intercept of the a line in point-slope (y &#8211; y<sub>1<\/sub>) = m(x &#8211; x<sub>1<\/sub>) form is&nbsp; (0,&nbsp; y<sub>1<\/sub> &#8211; mx<sub>1<\/sub>) or<strong>(y<sub>1<\/sub><\/strong> <strong>&#8211; mx<sub>1<\/sub>)<\/strong>.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"4-y-intercept-on-a-graph\">Y-Intercept on a Graph<\/h2>\n\n\n\n<p>The point where the graph crosses the y-axis is the y-intercept.&nbsp;<\/p>\n\n\n\n<p><strong>Example:<\/strong> The line intersects the y-axis at (0, 3). Thus, the y-intercept is (0, 3) or 3.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"524\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/graph-of-the-y-intercept.png\" alt=\"Graph of the y-intercept\" class=\"wp-image-34313\" title=\"Graph of the y-intercept\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/graph-of-the-y-intercept.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/graph-of-the-y-intercept-300x254.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"5-y-intercept-of-a-quadratic-function-parabola\">Y-Intercept of a Quadratic Function (Parabola)<\/h2>\n\n\n\n<p>The quadratic function has the standard form y = ax<sup>2<\/sup> + bx + c. The y-intercept is always equal to the value of c.&nbsp;<\/p>\n\n\n\n<p>To find the y-intercept, we just have to substitute x = 0 in the equation and solve for y. Thus, the corresponding y-intercept will be y or (0, y).<\/p>\n\n\n\n<p><strong>Example:<\/strong> y = x<sup>2<\/sup> &#8211; 2x &#8211; 3<\/p>\n\n\n\n<p>Substitute x = 0 and solve for y.<\/p>\n\n\n\n<p>y=0 &#8211; 2(0) &#8211; 3<\/p>\n\n\n\n<p>y = &#8211; 3<\/p>\n\n\n\n<p>Thus, the y-intercept is -3 or (0, -3).<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"6-facts-on-y-intercept\">Facts on Y-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<ul class=\"wp-block-list\">\n<li>To find the y-intercept, substitute x = 0 and solve for y.&nbsp;<\/li>\n\n\n\n<li>The lines parallel to the y-axis do not have the y-intercept as they don\u2019t intersect with the y-axis.<\/li>\n\n\n\n<li>A function cannot have more than one y-intercept.<\/li>\n\n\n\n<li>The y-intercept of a polynomial function in the form&nbsp; y = a<sub>1<\/sub> x<sub>n<\/sub> + a<sub>2<\/sub> x<sub>n-1<\/sub>+ &#8230;+ a<sub>n<\/sub> is its constant term a<sub>n<\/sub> or (0, a<sub>n<\/sub>).<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"7-conclusion\">Conclusion<\/h2>\n\n\n\n<p>In this article, we have learned about the y-intercept,<strong> <\/strong>definition, formula, and its different form with examples. Now, let us solve a few examples and practice problems on y-intercept.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"8-solved-examples-on-y-intercept\">Solved Examples on Y-Intercept<\/h2>\n\n\n\n<p><strong>Example 1: Identify the y-intercept of the line <\/strong><strong>y = 2x &#8211; 4<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>To find y-intercept, substitute x = 0 and solve for y.<\/p>\n\n\n\n<p>y = 2(0) &#8211; 12<\/p>\n\n\n\n<p>y = -12<\/p>\n\n\n\n<p>Thus, the y-intercept of the line y = 2x &#8211; 4 is (0,- 12).<\/p>\n\n\n\n<p><strong>Example 2: Find the y-intercept of the following quadratic function: y = x<sup>2<\/sup> &#8211; 6x + 4<\/strong><\/p>\n\n\n\n<p><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p>To find y-intercept, substitute <strong>x<\/strong> = 0 and solve for y.<\/p>\n\n\n\n<p>y = 0<sup>2<\/sup> <strong>&#8211;<\/strong> 6(0) + 4<\/p>\n\n\n\n<p>y = 4<\/p>\n\n\n\n<p>Thus, the y-intercept of the equation&nbsp; <strong>y = x<sup>2<\/sup> &#8211; 6x + 4<\/strong> is (0, 4).<\/p>\n\n\n\n<p><strong>Example 3: If (0,-3) is the y-intercept of the function y = 3x<sup>2<\/sup> + ax + b, then find the value of b.<\/strong><\/p>\n\n\n\n<p><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p>Equation: y = 3x<sup>2<\/sup> + a<strong>x<\/strong> + b<\/p>\n\n\n\n<p>Y-intercept =<strong> <\/strong>(0,<strong>&#8211;<\/strong>3)<\/p>\n\n\n\n<p>b = ?<\/p>\n\n\n\n<p>Using the y-intercept formula, substitute <strong>x<\/strong><strong> <\/strong>= 0 in the given equation,<\/p>\n\n\n\n<p>y = 3x<sup>2<\/sup> + ax + b<\/p>\n\n\n\n<p>y = 3(0)<sup>2<\/sup> + a(0) + b<\/p>\n\n\n\n<p>y = b<\/p>\n\n\n\n<p>Thus, b = <strong>&#8211;<\/strong>3<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"9-practice-problems-on-y-intercept\">Practice Problems on Y-Intercept<\/h2>\n\n\n\n<div class=\"spq_wrapper\"><h2 style=\"display:none;\">What is Y Intercept? Definition, Formula, Equation, 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\">Find the y-intercept of the line y = x?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">1<\/div><div class=\"spq_answer_block\" data-value=\"1\">0<\/div><div class=\"spq_answer_block\" data-value=\"2\">-1<\/div><div class=\"spq_answer_block\" data-value=\"3\">Not defined<\/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: 0<br\/>The y-intercept of the line y = x is 0.<br>\r\ny $= \\frac{(0^{2}\\;-\\;1)}{0}$<br>\r\ny $= \\frac{-\\;1}{0}$, which is not defined.<\/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 the y-intercept of the line y = 5x + a is 5, then find the value of a.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">3<\/div><div class=\"spq_answer_block\" data-value=\"1\">4<\/div><div class=\"spq_answer_block\" data-value=\"2\">5<\/div><div class=\"spq_answer_block\" data-value=\"3\">6<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: 5<br\/>Substitute x = 0 in y = 5x + a.<br>\r\ny = 5(0) + a<br>\r\ny = a<br>\r\nThe y-intercept is a = 5.<\/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\">What is the y-intercept of the line whose equation is 4x + 6y = 10?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$\\frac{2}{3}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$\\frac{5}{3}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$\\frac{3}{2}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$\\frac{3}{5}$<\/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: $\\frac{5}{3}$<br\/>Put x = 0 in 4x + 6y = 10.<br>\r\n0 + 6y = 10<br>\r\ny $= \\frac{5}{3}$<\/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\": \"What is Y Intercept? 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        \"text\": \"Put x = 0 in 4x + 6y = 10.<br>\r\n0 + 6y = 10<br>\r\ny $$= \\\\frac{5}{3}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{3}{2}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Put x = 0 in 4x + 6y = 10.<br>\r\n0 + 6y = 10<br>\r\ny $$= \\\\frac{5}{3}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{3}{5}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Put x = 0 in 4x + 6y = 10.<br>\r\n0 + 6y = 10<br>\r\ny $$= \\\\frac{5}{3}$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$\\\\frac{5}{3}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Put x = 0 in 4x + 6y = 10.<br>\r\n0 + 6y = 10<br>\r\ny $$= \\\\frac{5}{3}$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Put x = 0 in 4x + 6y = 10.<br>\r\n0 + 6y = 10<br>\r\ny $$= \\\\frac{5}{3}$$\"\n                      }\n                    } \n\n                    }]}<\/script>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"10-frequently-asked-questions-about-y-intercept\">Frequently Asked Questions about Y-intercept<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-0db02b81-cd27-48c4-a609-dae9dd42cbe4\" 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-0-0db02b81-cd27-48c4-a609-dae9dd42cbe4\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-0db02b81-cd27-48c4-a609-dae9dd42cbe4\"><strong>Does a vertical line have a 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-0-0db02b81-cd27-48c4-a609-dae9dd42cbe4\">\n\n<p>No, a vertical line does not have a 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-1-0db02b81-cd27-48c4-a609-dae9dd42cbe4\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-0db02b81-cd27-48c4-a609-dae9dd42cbe4\"><strong>What is the x-intercept of a line?<\/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-1-0db02b81-cd27-48c4-a609-dae9dd42cbe4\">\n\n<p>The x-intercept of a line is the point where the line crosses the x-axis.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-2-0db02b81-cd27-48c4-a609-dae9dd42cbe4\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-0db02b81-cd27-48c4-a609-dae9dd42cbe4\"><strong>How do you find the y-intercept of a line?<\/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-2-0db02b81-cd27-48c4-a609-dae9dd42cbe4\">\n\n<p>To find the y-intercept, set x equal to zero in the equation of the line and solve for y.<\/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-3-0db02b81-cd27-48c4-a609-dae9dd42cbe4\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-0db02b81-cd27-48c4-a609-dae9dd42cbe4\"><strong>Is the y-intercept always a whole number?<\/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-3-0db02b81-cd27-48c4-a609-dae9dd42cbe4\">\n\n<p>No, the y-intercept can be any real number.<\/p>\n\n<\/div><\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>What Is Y-Intercept? The y-intercept of a graph is the point where the graph crosses the y-axis.&nbsp; Since the y-intercept is a point on the y-axis, its x-coordinate is always 0. Thus, the coordinates of the y-intercept are of the form (0, y). Take a look at the y-intercept of a line on a graph &#8230; <a title=\"What is Y Intercept? Definition, Formula, Equation, Examples\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/y-intercept\" aria-label=\"More on What is Y Intercept? Definition, Formula, Equation, Examples\">Read more<\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"ub_ctt_via":"","footnotes":""},"categories":[1],"tags":[],"class_list":["post-34309","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\/34309","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=34309"}],"version-history":[{"count":7,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/34309\/revisions"}],"predecessor-version":[{"id":34321,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/34309\/revisions\/34321"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=34309"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=34309"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=34309"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}