{"id":309,"date":"2022-04-13T09:00:58","date_gmt":"2022-04-13T09:00:58","guid":{"rendered":"http:\/\/9thclass.deltapublications.in\/?page_id=309"},"modified":"2025-08-20T01:31:08","modified_gmt":"2025-08-20T01:31:08","slug":"t-6-slope-intercept-form-graph-an-equation","status":"publish","type":"page","link":"https:\/\/9thclass.deltapublications.in\/index.php\/t-6-slope-intercept-form-graph-an-equation\/","title":{"rendered":"T.6 Slope-intercept form: graph an equation"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color\" style=\"color:#00056d;text-transform:uppercase\"><strong>Slope-intercept form: graph an equation<\/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\/DAGwOnIFPJw\/p_r4ZrMyJkccuP6E631Rsw\/watch?embed\" allowfullscreen=\"allowfullscreen\" allow=\"fullscreen\">\n  <\/iframe>\n<\/div>\n<a href=\"https:&#x2F;&#x2F;www.canva.com&#x2F;design&#x2F;DAGwOnIFPJw&#x2F;p_r4ZrMyJkccuP6E631Rsw&#x2F;watch?utm_content=DAGwOnIFPJw&amp;utm_campaign=designshare&amp;utm_medium=embeds&amp;utm_source=link\" target=\"_blank\" rel=\"noopener\">T.6 Slope-intercept form: graph an equation<\/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-4d4696560822e7cb72ec4be90d4370b1\" style=\"color:#74008b\">Key Notes:<\/p>\n\n\n\n<h3 class=\"wp-block-heading has-text-color has-link-color has-large-font-size wp-elements-492cb45500548d7e47a446f93e257b4c\" style=\"color:#000060\"><strong>Definition<\/strong><\/h3>\n\n\n\n<p>The slope-intercept form of a linear equation is: <\/p>\n\n\n\n<p class=\"has-text-align-center\"><strong>y = mx + b<\/strong><\/p>\n\n\n\n<p>Where:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>m<\/strong> = slope of the line (rise over run)<\/li>\n\n\n\n<li><strong>b<\/strong> = y-intercept (the point where the line crosses the y-axis)<\/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-08895c73725707d8a11a4851d5a20a1c\" style=\"color:#000060\"><strong>Understanding the Slope (m)<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Slope<\/strong> = change in y \/ change in x = rise \/ run<\/li>\n\n\n\n<li>Positive slope \u2192 line rises from left to right<\/li>\n\n\n\n<li>Negative slope \u2192 line falls from left to right<\/li>\n\n\n\n<li>Zero slope \u2192 horizontal line<\/li>\n\n\n\n<li>Undefined slope \u2192 vertical line (not in slope-intercept form)<\/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-749591ba5c73d69ce3e2c34204d920c4\" style=\"color:#000060\"><strong>Understanding the Y-intercept (b)<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Point where the line crosses the y-axis<\/li>\n\n\n\n<li>Coordinates are always (0,b)<\/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-180e9d973d4327893d6d92a6d9b59343\" style=\"color:#000060\"><strong>Steps to Graph an Equation in Slope-Intercept Form<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Identify<\/strong> the slope (<strong>m<\/strong>) and y-intercept (<strong>b<\/strong>) from the equation.<\/li>\n\n\n\n<li><strong>Plot<\/strong> the y-intercept on the y-axis.<\/li>\n\n\n\n<li><strong>Use the slope<\/strong> to find another point:\n<ul class=\"wp-block-list\">\n<li>From the y-intercept, move <strong>rise<\/strong> units up\/down and <strong>run<\/strong> units right.<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Draw<\/strong> the straight line through the points.<\/li>\n\n\n\n<li><strong>Extend<\/strong> the line and label it.<\/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-8c705e1662000538b261543f7ab2b300\" style=\"color:#000060\"><strong>Example<\/strong><\/h3>\n\n\n\n<p><strong>Equation:<\/strong> y = 2x \u2212 3<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>m<\/strong> = 2 \u2192 rise = 2, run = 1<\/li>\n\n\n\n<li><strong>b<\/strong> = -3 \u2192 y-intercept = (0, -3)<\/li>\n<\/ul>\n\n\n\n<p><strong>Graphing:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Plot (0, -3)<\/li>\n\n\n\n<li>From (0, -3), go up 2 and right 1 \u2192 (1, -1)<\/li>\n\n\n\n<li>Draw line through the points.<\/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-2f39eb2e4003a6ec03ba00dee3ac33ce\" style=\"color:#000060\"><strong>Key Points to Remember<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Slope is a measure of steepness.<\/li>\n\n\n\n<li>Y-intercept tells where the line starts on the y-axis.<\/li>\n\n\n\n<li>Only two points are needed to draw a line, but more points can make it accurate.<\/li>\n\n\n\n<li>Always check if the equation is in <strong>y = mx + b<\/strong> form; if not, rearrange it.<\/li>\n<\/ul>\n\n\n\n<div class=\"wp-block-group has-large-font-size\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p class=\"has-text-align-center has-text-color has-large-font-size\" 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-large-font-size\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<div class=\"wp-block-group has-background\" style=\"background-color:#addef6\"><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-constrained wp-block-group-is-layout-constrained\">\n<p class=\"has-text-align-center has-text-color has-large-font-size\" style=\"color:#b00012\">Graph&nbsp;this line using the slope and&nbsp;y-intercept:<\/p>\n\n\n\n<p class=\"has-text-align-center has-text-color has-large-font-size\" style=\"color:#b00012\">y = \u20135x + 10<\/p>\n<\/div><\/div>\n\n\n\n<p>The graph is the straight line connecting ( 0,10 ) and ( 1,5 ).<\/p>\n\n\n<div class=\"wp-block-image is-resized\">\n<figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1-7.png\" alt=\"\" class=\"wp-image-11544\" style=\"width:348px;height:auto\"\/><\/figure><\/div><\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background\" style=\"background-color:#f2c1f7\"><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-constrained wp-block-group-is-layout-constrained\">\n<p class=\"has-text-align-center has-text-color has-large-font-size\" style=\"color:#b00012\"><strong>Graph&nbsp;this line using the slope and&nbsp;y-intercept:<\/strong><\/p>\n\n\n\n<p class=\"has-text-align-center has-text-color has-large-font-size\" style=\"color:#b00012\"><strong> y = 6x -9<\/strong><\/p>\n<\/div><\/div>\n\n\n\n<p>The graph is the straight line connecting ( 0,-9 ) and ( 1,-3 ) .<\/p>\n\n\n<div class=\"wp-block-image is-resized\">\n<figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1-9.png\" alt=\"\" class=\"wp-image-11548\" style=\"width:400px;height:auto\"\/><\/figure><\/div><\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background\" style=\"background-color:#fcfcca\"><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-7de4fb014a6fa41025f42adb4e30e400\" style=\"color:#b00012\">Graph&nbsp;this line using the slope and&nbsp;<\/p>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-ff62edf2a571ef1379870e1afd299596\" style=\"color:#b00012\">y-intercept:<\/p>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-a19674a8eb4a78ed761af7b52e3d6756\" style=\"color:#b00012\">y = -1\/8x &#8211; 1<\/p>\n\n\n\n<p>Click to select points on the graph.<\/p>\n\n\n<div class=\"wp-block-image is-resized\">\n<figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1-10.png\" alt=\"\" class=\"wp-image-11551\" style=\"width:410px;height:auto\"\/><\/figure><\/div><\/div><\/div>\n\n\n\n<p>The&nbsp;y-intercept&nbsp;is -Plot the point (0, -1 ) .<\/p>\n\n\n\n<p>&nbsp;<\/p>\n\n\n<div class=\"wp-block-image is-resized\">\n<figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1-11.png\" alt=\"\" class=\"wp-image-11552\" style=\"width:440px;height:auto\"\/><\/figure><\/div>\n\n\n<p>The&nbsp;slope is&nbsp;-1\/8 . Move down 1 and right 8 to find another point on the line.<\/p>\n\n\n<div class=\"wp-block-image is-resized\">\n<figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1-12.png\" alt=\"\" class=\"wp-image-11554\" style=\"width:438px;height:auto\"\/><\/figure><\/div>\n\n\n<p>The graph is the straight line connecting (0,1) and (8, -2).<\/p>\n\n\n<div class=\"wp-block-image is-resized\">\n<figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1-13.png\" alt=\"\" class=\"wp-image-11555\" style=\"width:388px;height:auto\"\/><\/figure><\/div><\/div><\/div>\n\n\n\n<p class=\"has-text-color has-large-font-size\" style=\"color:#d90000\">Let&#8217;s Practice!<\/p>\n<\/div><\/div>\n<\/div><\/div>\n<\/div><\/div>\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\/77924\/909\/141\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-112.png\" alt=\"\" class=\"wp-image-8036\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-112.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-112-300x300.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-112-150x150.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\/76979\/432\/572\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-121.png\" alt=\"\" class=\"wp-image-8037\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-121.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-121-300x300.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-121-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Slope-intercept form: graph an equation T.6 Slope-intercept form: graph an equation by Delta publications Key Notes: Definition The slope-intercept form of a linear equation is: y = mx + b Where: Understanding the Slope (m) Understanding the Y-intercept (b) Steps to Graph an Equation in Slope-Intercept Form Example Equation: y = 2x \u2212 3 Graphing:<a class=\"more-link\" href=\"https:\/\/9thclass.deltapublications.in\/index.php\/t-6-slope-intercept-form-graph-an-equation\/\">Continue reading <span class=\"screen-reader-text\">&#8220;T.6 Slope-intercept form: graph an equation&#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-309","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/309","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=309"}],"version-history":[{"count":20,"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/309\/revisions"}],"predecessor-version":[{"id":17546,"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/309\/revisions\/17546"}],"wp:attachment":[{"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=309"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}