{"id":327,"date":"2022-04-13T09:03:51","date_gmt":"2022-04-13T09:03:51","guid":{"rendered":"http:\/\/9thclass.deltapublications.in\/?page_id=327"},"modified":"2025-08-20T01:42:14","modified_gmt":"2025-08-20T01:42:14","slug":"t-15-standard-form-find-x-and-y-intercepts","status":"publish","type":"page","link":"https:\/\/9thclass.deltapublications.in\/index.php\/t-15-standard-form-find-x-and-y-intercepts\/","title":{"rendered":"T.15 Standard form: find x- and y-intercepts"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color has-huge-font-size\" style=\"color:#110055;text-transform:uppercase\"><strong>Standard form: find x- and y-intercepts<\/strong><\/h2>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:100%\">\n<div style=\"position: relative; width: 100%; height: 0; padding-top: 56.2500%;\n padding-bottom: 0; box-shadow: 0 2px 8px 0 rgba(63,69,81,0.16); margin-top: 1.6em; margin-bottom: 0.9em; overflow: hidden;\n border-radius: 8px; will-change: transform;\">\n  <iframe loading=\"lazy\" style=\"position: absolute; width: 100%; height: 100%; top: 0; left: 0; border: none; padding: 0;margin: 0;\"\n    src=\"https:\/\/www.canva.com\/design\/DAGwHhHfaaU\/19AtKsQ4iT8hHmODgkpV5g\/watch?embed\" allowfullscreen=\"allowfullscreen\" allow=\"fullscreen\">\n  <\/iframe>\n<\/div>\n<a href=\"https:&#x2F;&#x2F;www.canva.com&#x2F;design&#x2F;DAGwHhHfaaU&#x2F;19AtKsQ4iT8hHmODgkpV5g&#x2F;watch?utm_content=DAGwHhHfaaU&amp;utm_campaign=designshare&amp;utm_medium=embeds&amp;utm_source=link\" target=\"_blank\" rel=\"noopener\">T.15 Standard form: find x- and y-intercepts<\/a> by Delta publications\n<\/div>\n<\/div>\n\n\n\n<p class=\"has-text-color has-link-color has-huge-font-size wp-elements-4dde4300b7763c9a2a860fe18546dfe2\" style=\"color:#74008b;text-transform:uppercase\">key notes:<\/p>\n\n\n\n<p class=\"has-text-color has-large-font-size\" style=\"color:#000060\"><strong>Standard Form of a Linear Equation<\/strong><\/p>\n\n\n\n<p>A linear equation in standard form is written as: <\/p>\n\n\n\n<p class=\"has-text-align-center\"><strong>Ax+By=C<\/strong> <\/p>\n\n\n\n<p>where <strong>A, B<\/strong>, and <strong>C a<\/strong>re numbers, and <strong>x, y<\/strong> are variables.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-text-color has-link-color has-large-font-size wp-elements-98f9a9f3c04634406da3e431d05a741f\" style=\"color:#000060\"><strong> What are Intercepts?<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>x-intercept:<\/strong> The point where the line crosses the <strong>x-axis<\/strong>.<br>At this point, <strong>y=0<\/strong><\/li>\n\n\n\n<li><strong>y-intercept:<\/strong> The point where the line crosses the <strong>y-axis<\/strong>.<br>At this point, <strong>x=0<\/strong><\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-text-color has-link-color has-large-font-size wp-elements-8af5bdcd38dcc52738f26034a3937df4\" style=\"color:#000060\"><strong> How to Find the Intercepts from Standard Form<\/strong><\/h3>\n\n\n\n<p><strong>To find the x-intercept:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Put y=0 in the equation Ax+By=C<\/li>\n\n\n\n<li>Solve for x.<\/li>\n<\/ul>\n\n\n\n<p><strong>To find the y-intercept:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Put x=0 in the equation Ax+By=C.<\/li>\n\n\n\n<li>Solve for y.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-text-color has-link-color has-large-font-size wp-elements-62895b0aed53a3bee3fd762c9a006cc0\" style=\"color:#000060\"><strong> Worked Examples<\/strong><\/h3>\n\n\n\n<h4 class=\"wp-block-heading\">Example 1<\/h4>\n\n\n\n<p>Find x- and y-intercepts of: <\/p>\n\n\n\n<p class=\"has-text-align-center\">2x+3y=12<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Find x-intercept:<\/strong> Set y=0<\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-align-center\">2x+3(0)=12\u2005\u200a\u27f9\u2005\u200a2x=12\u2005\u200a\u27f9\u2005\u200ax=6<\/p>\n\n\n\n<p>So, x-intercept is (6,0)<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Find y-intercept:<\/strong> Set x=0<\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-align-center\">2(0)+3y=12\u2005\u200a\u27f9\u2005\u200a3y=12\u2005\u200a\u27f9\u2005\u200ay=4<\/p>\n\n\n\n<p>So, y-intercept is (0,4).<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h4 class=\"wp-block-heading has-large-font-size\">Example 2<\/h4>\n\n\n\n<p>Find x- and y-intercepts of: <\/p>\n\n\n\n<p class=\"has-text-align-center\">4x\u22125y=20<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>x-intercept:<\/strong> Put y=0<\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-align-center\">4x=20\u2005\u200a\u27f9\u2005\u200ax=5<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>y-intercept:<\/strong> Put x=0<\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-align-center\">\u22125y=20\u2005\u200a\u27f9\u2005\u200ay=\u22124<\/p>\n\n\n\n<p>Intercepts are (5,0)and (0,\u22124).<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-text-color has-link-color has-large-font-size wp-elements-7f6f87f3a72b69137f0868a533261ebf\" style=\"color:#000060\"><strong>Summary<\/strong><\/h3>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>Intercept<\/th><th>How to find<\/th><th>Set variable to<\/th><\/tr><\/thead><tbody><tr><td><strong>x-intercept<\/strong><\/td><td>Solve Ax+By=C for x<\/td><td>y=0<\/td><\/tr><tr><td><strong>y-intercept<\/strong><\/td><td>Solve Ax+By=C for y<\/td><td>x=0<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-text-color has-link-color has-large-font-size wp-elements-2dbfbdcd1bc90edf1931437d744de80a\" style=\"color:#000060\"><strong> Practice Questions<\/strong><\/h3>\n\n\n\n<p>Find the x- and y-intercepts of:<\/p>\n\n\n\n<p class=\"has-foreground-color has-text-color has-normal-font-size\"><strong>1.<\/strong>  3x+4y=12<\/p>\n\n\n\n<p><strong>2.<\/strong>  5x\u22122y=10<\/p>\n\n\n\n<p><strong>3.<\/strong>  x+y=7<\/p>\n\n\n\n<p class=\"has-foreground-color has-text-color has-normal-font-size\"><strong>4<\/strong>.  6x+3y=18<\/p>\n\n\n\n<p class=\"has-text-align-center has-text-color has-link-color has-large-font-size wp-elements-3fefd20f8ce119a518e5f53333ab5486\" style=\"color:#105000\"><strong>Learn with an example<\/strong><\/p>\n\n\n\n<div class=\"wp-block-group\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-background has-normal-font-size\" style=\"background-color:#98cee9\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-text-color has-link-color wp-elements-3573d3a517804d7fec3351669bee847b\" style=\"color:#b00012\">Find the&nbsp;<em>y<\/em>-intercept of the following equation. Simplify your answer.<\/p>\n\n\n\n<p class=\"has-text-align-center has-normal-font-size\">2<em>x<\/em>&nbsp;+ 3<em>y<\/em>&nbsp;= 6<\/p>\n\n\n\n<p class=\"has-normal-font-size\"><em>y<\/em>-intercept = ____<\/p>\n<\/div><\/div>\n\n\n\n<p>The y-intercept is on the y-axis, where x = 0. Plug x = 0 into the equation and solve for y.<\/p>\n\n\n\n<p>2x + 3y = 6<\/p>\n\n\n\n<p>2(0) + 3y = 6          Plugin x= 0<\/p>\n\n\n\n<p>3y = 6            Simplify<\/p>\n\n\n\n<p>y = 2          Divide both sides by 3<\/p>\n\n\n\n<p class=\"has-normal-font-size\">The y-intercept is 2.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-normal-font-size\" style=\"background-color:#c0f98f\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-text-color has-link-color wp-elements-b230e714f10c235354a9acaad6f37456\" style=\"color:#b00012\">Find the&nbsp;<em>x<\/em>-intercept of the following equation. Simplify your answer.<\/p>\n\n\n\n<p class=\"has-text-align-center has-normal-font-size\">8<em>x<\/em>&nbsp;+ 7<em>y<\/em>&nbsp;= 8<\/p>\n\n\n\n<p class=\"has-normal-font-size\"><em>x<\/em>-intercept = ____<\/p>\n<\/div><\/div>\n\n\n\n<p>The x-intercept is on the x-axis, where y = 0. Plug y = 0 into the equation and solve for x.<\/p>\n\n\n\n<p>8x + 7y = 8<\/p>\n\n\n\n<p class=\"has-primary-color has-text-color has-small-font-size\">8x + 7(0) = 8        Plugin y= 0<\/p>\n\n\n\n<p>8x = 8              Simplify <\/p>\n\n\n\n<p>x = 1             Divide both sides by 8<\/p>\n\n\n\n<p class=\"has-normal-font-size\">The x-intercept is 1.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-normal-font-size\" style=\"background-color:#80cdeb\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p class=\"has-text-color has-link-color wp-elements-37ebcef048e8d9b9045ee28a6c42eb0d\" style=\"color:#b00012\">Find the y-intercept of the following equation. Simplify your answer.<\/p>\n\n\n\n<p>6x + y = 5<\/p>\n\n\n\n<p>y-intercept =<\/p>\n<\/div><\/div>\n\n\n\n<p>The y-intercept is on the y-axis, where x = 0. Plug x = 0 into the equation and solve for y.<\/p>\n\n\n\n<p>6x + y = 5<\/p>\n\n\n\n<p>6(0) + y = 5 Plugin x= 0<\/p>\n\n\n\n<p>y = 5 Simplify<\/p>\n\n\n\n<p>They-interceptis5.<\/p>\n<\/div><\/div>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-columns are-vertically-aligned-center has-background is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\" style=\"background-color:#ffef76\">\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:33.33%\">\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/09\/Pink_Modern_Minimalist_Microphone_Talk_Podcast_Cover-removebg-preview.png\" alt=\"\" class=\"wp-image-9029\"\/><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:66.66%\">\n<figure class=\"wp-block-audio\"><audio controls src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/09\/16946800845165822h3b-voicemaker.in-speech.mp3\"><\/audio><\/figure>\n<\/div>\n<\/div>\n\n\n\n<p class=\"has-text-color has-link-color has-large-font-size wp-elements-e005d14ba260fc913fdf865943fb5e17\" style=\"color:#d90000\">Let&#8217;s Practice!<\/p>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/wordwall.net\/play\/78192\/754\/654\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-130.png\" alt=\"\" class=\"wp-image-8091\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-130.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-130-300x300.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-130-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/wordwall.net\/play\/36486\/790\/967\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-139.png\" alt=\"\" class=\"wp-image-8092\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-139.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-139-300x300.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-139-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Standard form: find x- and y-intercepts T.15 Standard form: find x- and y-intercepts by Delta publications key notes: Standard Form of a Linear Equation A linear equation in standard form is written as: Ax+By=C where A, B, and C are numbers, and x, y are variables. What are Intercepts? How to Find the Intercepts from<a class=\"more-link\" href=\"https:\/\/9thclass.deltapublications.in\/index.php\/t-15-standard-form-find-x-and-y-intercepts\/\">Continue reading <span class=\"screen-reader-text\">&#8220;T.15 Standard form: find x- and y-intercepts&#8221;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"om_disable_all_campaigns":false,"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"class_list":["post-327","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/327","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=327"}],"version-history":[{"count":20,"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/327\/revisions"}],"predecessor-version":[{"id":17556,"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/327\/revisions\/17556"}],"wp:attachment":[{"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=327"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}