{"id":63,"date":"2022-04-13T09:53:04","date_gmt":"2022-04-13T09:53:04","guid":{"rendered":"http:\/\/10thclass.deltapublications.in\/?page_id=63"},"modified":"2025-03-05T07:04:46","modified_gmt":"2025-03-05T07:04:46","slug":"d-5-slope-intercept-form-find-the-slope-and-y-intercept","status":"publish","type":"page","link":"https:\/\/10thclass.deltapublications.in\/index.php\/d-5-slope-intercept-form-find-the-slope-and-y-intercept\/","title":{"rendered":"D.5 Slope-intercept form: find the slope and y-intercept"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color has-huge-font-size\" style=\"color:#060074;text-transform:uppercase\"><strong>Slope-intercept form: find the slope and y-intercept<\/strong><\/h2>\n\n\n\n<figure class=\"wp-block-video\"><video controls src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/08\/D.5-Slope-intercept-form_-find-the-slope-and-y-intercept.mp4\"><\/video><\/figure>\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<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-foreground-color has-text-color\">The&nbsp;<em>y<\/em>-intercept&nbsp;is the&nbsp;<em>y<\/em>-coordinate of the point where the graph crosses the&nbsp;<em>y<\/em>-axis.<\/p>\n\n\n\n<p class=\"has-foreground-color has-text-color\"> If a line crosses the&nbsp;<em>y<\/em>-axis&nbsp;at the point (0,&nbsp;<em>y<\/em>), then&nbsp;<em>y<\/em>&nbsp;is the&nbsp;<em>y<\/em>-intercept. <\/p>\n\n\n\n<p class=\"has-foreground-color has-text-color\">In&nbsp;slope-intercept&nbsp;form&nbsp;(<em>y<\/em>&nbsp;= m<em>x<\/em>&nbsp;+ b), the&nbsp;<em>y<\/em>-intercept&nbsp;is b.<\/p>\n\n\n\n<p class=\"has-text-color\" style=\"color:#110455\">In the equation&nbsp;<em>y<\/em>&nbsp;= m<em>x<\/em>&nbsp;+ b, m is the slope.<\/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 has-background\" style=\"background-color:#aee6ea\"><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-ca500a28476e8d027e2de159622f54bd\" style=\"color:#b00012\"><strong>Find the&nbsp;<em>y<\/em>-intercept of the following equation. Simplify your answer.<\/strong><\/p>\n\n\n\n<p class=\"has-text-align-center\"><em>y<\/em>&nbsp;= 2<em>x<\/em>&nbsp;\u2212 8<\/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>y = 2x \u2212 8<\/p>\n\n\n\n<p>y = 2(0) \u2212 8 <\/p>\n\n\n\n<p>y = \u20138    Simplify<\/p>\n\n\n\n<p>The <strong>y<\/strong>-intercept is   \u2013 8.<\/p>\n\n\n\n<p>Since the equation is in slope-intercept form (y = mx + b), you can also find the y-intercept by looking for b, the y-intercept.<\/p>\n\n\n\n<p>y = mx + b<\/p>\n\n\n\n<p>y = 2x + \u20138<\/p>\n\n\n\n<p>Again,they-intercept is\u20138.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background\" style=\"background-color:#f4bbfc\"><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-2971d2ff007ab2c0f6866736c18cb03f\" style=\"color:#b00012\"><strong>Find the slope of the line y = 9\/2 x + 1\/2<\/strong><\/p>\n<\/div><\/div>\n\n\n\n<p>Find the slope, m:<\/p>\n\n\n\n<p>y = mx + b<\/p>\n\n\n\n<p>y =9\/2 x + 1\/2<\/p>\n\n\n\n<p>The slope is 9\/2.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background\" style=\"background-color:#dbe99f\"><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-ca500a28476e8d027e2de159622f54bd\" style=\"color:#b00012\"><strong>Find the&nbsp;<em>y<\/em>-intercept of the following equation. Simplify your answer.<\/strong><\/p>\n\n\n\n<p><em>y<\/em>&nbsp;= 6<em>x<\/em>&nbsp;+ 5<\/p>\n\n\n\n<p><em>y<\/em>-intercept =&nbsp;<\/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>y = 6x + 5<\/p>\n\n\n\n<p>y = 6(0) + 5        Plugin x = 0<\/p>\n\n\n\n<p>y = 5               Simplify<\/p>\n\n\n\n<p>The &#8211; intercept is 5.<\/p>\n\n\n\n<p>Since the equation is in&nbsp;slope-intercept&nbsp;form&nbsp;(<em>y<\/em>&nbsp;= m<em>x<\/em>&nbsp;+ b), you can also find the&nbsp;<em>y<\/em>-intercept&nbsp;by looking for b, the&nbsp;<em>y<\/em>-intercept.<\/p>\n\n\n\n<p>y = mx + b<\/p>\n\n\n\n<p>y = 6x + 5<\/p>\n\n\n\n<p>Again, they &#8211; intercept is 5.<\/p>\n<\/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\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\/83147\/630\/365\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-21.png\" alt=\"\" class=\"wp-image-6638\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-21.png 500w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-21-300x300.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-21-150x150.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\/81826\/480\/518\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-23.png\" alt=\"\" class=\"wp-image-6639\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-23.png 500w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-23-300x300.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-23-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Slope-intercept form: find the slope and y-intercept Key Notes: The&nbsp;y-intercept&nbsp;is the&nbsp;y-coordinate of the point where the graph crosses the&nbsp;y-axis. If a line crosses the&nbsp;y-axis&nbsp;at the point (0,&nbsp;y), then&nbsp;y&nbsp;is the&nbsp;y-intercept. In&nbsp;slope-intercept&nbsp;form&nbsp;(y&nbsp;= mx&nbsp;+ b), the&nbsp;y-intercept&nbsp;is b. In the equation&nbsp;y&nbsp;= mx&nbsp;+ b, m is the slope. Learn with an example Find the&nbsp;y-intercept of the following equation. Simplify your<a class=\"more-link\" href=\"https:\/\/10thclass.deltapublications.in\/index.php\/d-5-slope-intercept-form-find-the-slope-and-y-intercept\/\">Continue reading <span class=\"screen-reader-text\">&#8220;D.5 Slope-intercept form: find the slope and y-intercept&#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-63","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/63","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=63"}],"version-history":[{"count":17,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/63\/revisions"}],"predecessor-version":[{"id":17585,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/63\/revisions\/17585"}],"wp:attachment":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=63"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}