{"id":78,"date":"2022-04-13T09:55:17","date_gmt":"2022-04-13T09:55:17","guid":{"rendered":"http:\/\/10thclass.deltapublications.in\/?page_id=78"},"modified":"2025-03-05T07:19:05","modified_gmt":"2025-03-05T07:19:05","slug":"d-12-compare-linear-equations-graphs-and-tables","status":"publish","type":"page","link":"https:\/\/10thclass.deltapublications.in\/index.php\/d-12-compare-linear-equations-graphs-and-tables\/","title":{"rendered":"D.12 Compare linear equations, graphs and tables"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color has-huge-font-size\" style=\"color:#0e0354;text-transform:uppercase\"><strong>Compare linear equations, graphs, and tables<\/strong><\/h2>\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-large-font-size\">The&nbsp;<strong>slope&nbsp;formula<\/strong>&nbsp;is <em>m<\/em> = change&nbsp;in&nbsp;<em>y<\/em> \/ change&nbsp;in&nbsp;<em>x<\/em><\/p>\n\n\n\n<p class=\"has-large-font-size\">The&nbsp;<strong>slope-intercept&nbsp;form<\/strong>&nbsp;of a linear function&nbsp;is y = mx + b<\/p>\n\n\n\n<p class=\"has-text-align-center has-foreground-color has-text-color has-large-font-size\">where&nbsp;m&nbsp;is the slope and&nbsp;b&nbsp;is the&nbsp;y-intercept.<\/p>\n\n\n\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 has-background has-large-font-size\" style=\"background-color:#e6cdfc\"><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>Function&nbsp;A and Function B are linear&nbsp;functions.<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"1000\" height=\"1000\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1-19.png\" alt=\"\" class=\"wp-image-11592\" style=\"width:387px;height:auto\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1-19.png 1000w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1-19-300x300.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1-19-150x150.png 150w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1-19-768x768.png 768w\" sizes=\"auto, (max-width: 1000px) 100vw, 1000px\" \/><\/figure><\/div>\n\n\n<p class=\"has-text-color has-link-color wp-elements-45b985f50265a6608852865c7d4f244b\" style=\"color:#b00012\">Which&nbsp;statement is&nbsp;true?<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The&nbsp;slope of Function A is greater than the slope of Function&nbsp;B.<\/li>\n\n\n\n<li>The&nbsp;slope of Function A is less than the slope of Function&nbsp;B.<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<p>Find the slope of Function A.<\/p>\n\n\n\n<p>The graph of a linear function is a line. Find the change in y and the change in x between any two points on the line.<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"1000\" height=\"1000\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1-20.png\" alt=\"\" class=\"wp-image-11593\" style=\"aspect-ratio:0.9966996699669967;width:426px;height:auto\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1-20.png 1000w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1-20-300x300.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1-20-150x150.png 150w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1-20-768x768.png 768w\" sizes=\"auto, (max-width: 1000px) 100vw, 1000px\" \/><\/figure><\/div>\n\n\n<p>The&nbsp;change in&nbsp;<em>y<\/em>&nbsp;is&nbsp;2,&nbsp;and the change in&nbsp;<em>x<\/em>&nbsp;is&nbsp;2.<\/p>\n\n\n\n<p>The&nbsp;slope&nbsp;is:<\/p>\n\n\n\n<p>m = change&nbsp;in&nbsp;<em>y<\/em> \/ change&nbsp;in&nbsp;x<\/p>\n\n\n\n<p>m = 2\/2<\/p>\n\n\n\n<p>m = 1<\/p>\n\n\n\n<p>Find the slope of Function B.<\/p>\n\n\n\n<p>The equation is in slope-intercept form, y=2x+4.<\/p>\n\n\n\n<p>So, the slope is 2.<\/p>\n\n\n\n<p>Compare the slopes.<\/p>\n\n\n\n<p>The slope of Function A is 1. The slope of Function B is 2.<\/p>\n\n\n\n<p>So, the slope of Function A is<strong> less than<\/strong> the slope of Function B.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#fad2e7\"><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>Function&nbsp;A and Function B are linear&nbsp;functions.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"1000\" height=\"1000\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1-21.png\" alt=\"\" class=\"wp-image-11595\" style=\"width:465px;height:auto\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1-21.png 1000w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1-21-300x300.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1-21-150x150.png 150w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1-21-768x768.png 768w\" sizes=\"auto, (max-width: 1000px) 100vw, 1000px\" \/><\/figure>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-45b985f50265a6608852865c7d4f244b\" style=\"color:#b00012\">Which&nbsp;statement is&nbsp;true?<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The&nbsp;slope of Function A is greater than the slope of Function&nbsp;B.<\/li>\n\n\n\n<li>The&nbsp;slope of Function A is less than the slope of Function&nbsp;B.<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<p><strong>Find the slope of Function A.<\/strong><\/p>\n\n\n\n<p>The equation is in slope-intercept form, y=x\u20135.<\/p>\n\n\n\n<p>Since y=x\u20135 is the same as y=1x\u20135, the slope is 1.<\/p>\n\n\n\n<p><strong>Find the slope of Function B.<\/strong><\/p>\n\n\n\n<p>The graph of a linear function is a line. Find the change in y and the change in x between any two points on the line.<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"1000\" height=\"1000\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1-22-1.png\" alt=\"\" class=\"wp-image-11597\" style=\"aspect-ratio:0.996875;width:433px;height:auto\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1-22-1.png 1000w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1-22-1-300x300.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1-22-1-150x150.png 150w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1-22-1-768x768.png 768w\" sizes=\"auto, (max-width: 1000px) 100vw, 1000px\" \/><\/figure><\/div>\n\n\n<p>The&nbsp;change in&nbsp;<em>y<\/em>&nbsp;is&nbsp;4,&nbsp;and the change in&nbsp;<em>x<\/em>&nbsp;is&nbsp;1.<\/p>\n\n\n\n<p>The&nbsp;slope&nbsp;is:<\/p>\n\n\n\n<p>m = change&nbsp;in&nbsp;<em>y<\/em> \/ change&nbsp;in&nbsp;x<\/p>\n\n\n\n<p>m = 4\/1<\/p>\n\n\n\n<p>m = 4<\/p>\n\n\n\n<p><strong>Compare<\/strong><strong>&nbsp;the&nbsp;<\/strong><strong>slopes.<\/strong><\/p>\n\n\n\n<p>The&nbsp;slope of Function A is&nbsp;1.&nbsp;The slope of Function B is&nbsp;4.<\/p>\n\n\n\n<p>So,&nbsp;the slope of Function A is&nbsp;<strong>less&nbsp;than<\/strong>&nbsp;the slope of Function&nbsp;B.<\/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\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\/76513\/409\/900\"><img decoding=\"async\" src=\"https:\/\/2ndclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-190.png\" alt=\"\" class=\"wp-image-7230\"\/><\/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\/82233\/635\/512\"><img decoding=\"async\" src=\"https:\/\/2ndclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-189.png\" alt=\"\" class=\"wp-image-7231\"\/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Compare linear equations, graphs, and tables key notes: The&nbsp;slope&nbsp;formula&nbsp;is m = change&nbsp;in&nbsp;y \/ change&nbsp;in&nbsp;x The&nbsp;slope-intercept&nbsp;form&nbsp;of a linear function&nbsp;is y = mx + b where&nbsp;m&nbsp;is the slope and&nbsp;b&nbsp;is the&nbsp;y-intercept. Learn with an example Function&nbsp;A and Function B are linear&nbsp;functions. Which&nbsp;statement is&nbsp;true? Find the slope of Function A. The graph of a linear function is a line.<a class=\"more-link\" href=\"https:\/\/10thclass.deltapublications.in\/index.php\/d-12-compare-linear-equations-graphs-and-tables\/\">Continue reading <span class=\"screen-reader-text\">&#8220;D.12 Compare linear equations, graphs and tables&#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-78","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/78","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=78"}],"version-history":[{"count":19,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/78\/revisions"}],"predecessor-version":[{"id":17593,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/78\/revisions\/17593"}],"wp:attachment":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=78"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}