{"id":187,"date":"2022-04-12T12:25:36","date_gmt":"2022-04-12T12:25:36","guid":{"rendered":"http:\/\/8thclass.deltapublications.in\/?page_id=187"},"modified":"2023-12-01T06:57:38","modified_gmt":"2023-12-01T06:57:38","slug":"i-6-identify-proportional-relationships","status":"publish","type":"page","link":"https:\/\/8thclass.deltapublications.in\/index.php\/i-6-identify-proportional-relationships\/","title":{"rendered":"I.6 Identify proportional relationships"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color has-huge-font-size\" style=\"color:#00056d;text-transform:uppercase\"> Identify proportional relationships<\/h2>\n\n\n\n<p class=\"has-text-color has-link-color has-huge-font-size wp-elements-c94a149b099fb3f23f355c7448aa9d47\" style=\"color:#74008b\"><strong>key notes:<\/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<p class=\"has-large-font-size\">Two&nbsp;variables have a&nbsp;<strong>proportional&nbsp;relationship<\/strong>&nbsp;if the ratio of one variable to the other is&nbsp;constant.<\/p>\n\n\n\n<p class=\"has-large-font-size\">The&nbsp;graph of a proportional relationship between&nbsp;x&nbsp;and&nbsp;y&nbsp;is a straight line passing through the origin, (0,&nbsp;0).<\/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:#ebc1c1\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\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-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-5f2eb2d34f0793fd8e858b18b2dd0ed2\" style=\"color:#b00012\">Select&nbsp;the graphs that show a proportional relationship between&nbsp;x&nbsp;and&nbsp;y.<\/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:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/1-1-2.png\" alt=\"\" class=\"wp-image-13548\" style=\"width:275px;height:auto\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/1-1-2.png 1000w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/1-1-2-300x300.png 300w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/1-1-2-150x150.png 150w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/1-1-2-768x768.png 768w\" sizes=\"auto, (max-width: 1000px) 100vw, 1000px\" \/><\/figure><\/div>\n\n\n<p><\/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:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/1-2-2.png\" alt=\"\" class=\"wp-image-13550\" style=\"width:277px;height:auto\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/1-2-2.png 1000w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/1-2-2-300x300.png 300w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/1-2-2-150x150.png 150w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/1-2-2-768x768.png 768w\" sizes=\"auto, (max-width: 1000px) 100vw, 1000px\" \/><\/figure><\/div><\/div><\/div>\n<\/div><\/div>\n\n\n\n<p>To&nbsp;determine whether a graph shows a proportional relationship between&nbsp;x&nbsp;and&nbsp;y,&nbsp;see if it is a straight line passing through the&nbsp;origin.<\/p>\n\n\n\n<p>This&nbsp;graph is a straight line, but it does not pass through the&nbsp;origin.<\/p>\n\n\n<div class=\"wp-block-image is-resized\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/1__1_-removebg-preview-1.png\" alt=\"\" class=\"wp-image-13557\" style=\"width:386px;height:auto\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/1__1_-removebg-preview-1.png 500w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/1__1_-removebg-preview-1-300x300.png 300w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/1__1_-removebg-preview-1-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p>So,&nbsp;this graph does not represent a proportional relationship between&nbsp;x&nbsp;and&nbsp;y.<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/1__2_-removebg-preview.png\" alt=\"\" class=\"wp-image-13563\" style=\"width:350px;height:auto\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/1__2_-removebg-preview.png 500w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/1__2_-removebg-preview-300x300.png 300w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/1__2_-removebg-preview-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p>So,&nbsp;this graph represents a proportional relationship between&nbsp;x&nbsp;and&nbsp;y.<\/p>\n<\/div><\/div>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#afaff2\"><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-5f2eb2d34f0793fd8e858b18b2dd0ed2\" style=\"color:#b00012\">Select&nbsp;the graphs that show a proportional relationship between&nbsp;x&nbsp;and&nbsp;y.<\/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:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/1-3-1.png\" alt=\"\" class=\"wp-image-13570\" style=\"width:348px;height:auto\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/1-3-1.png 1000w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/1-3-1-300x300.png 300w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/1-3-1-150x150.png 150w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/1-3-1-768x768.png 768w\" sizes=\"auto, (max-width: 1000px) 100vw, 1000px\" \/><\/figure><\/div>\n\n\n<p><\/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:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/1-4-1.png\" alt=\"\" class=\"wp-image-13573\" style=\"width:335px;height:auto\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/1-4-1.png 1000w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/1-4-1-300x300.png 300w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/1-4-1-150x150.png 150w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/1-4-1-768x768.png 768w\" sizes=\"auto, (max-width: 1000px) 100vw, 1000px\" \/><\/figure><\/div><\/div><\/div>\n\n\n\n<p>To&nbsp;determine whether a graph shows a proportional relationship between&nbsp;x&nbsp;and&nbsp;y,&nbsp;see if it is a straight line passing through the&nbsp;origin.<\/p>\n\n\n\n<p>This&nbsp;graph is a straight line passing through the&nbsp;origin.<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/1__5_-removebg-preview.png\" alt=\"\" class=\"wp-image-13599\" style=\"width:359px;height:auto\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/1__5_-removebg-preview.png 500w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/1__5_-removebg-preview-300x300.png 300w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/1__5_-removebg-preview-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p>So,&nbsp;this graph represents a proportional relationship between&nbsp;x&nbsp;and&nbsp;y.<\/p>\n\n\n\n<p>This&nbsp;graph is a straight line, but it does not pass through the&nbsp;origin.<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/1__4_-removebg-preview.png\" alt=\"\" class=\"wp-image-13601\" style=\"width:335px;height:auto\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/1__4_-removebg-preview.png 500w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/1__4_-removebg-preview-300x300.png 300w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/1__4_-removebg-preview-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p>So,&nbsp;this graph does not represent a proportional relationship between&nbsp;x&nbsp;and&nbsp;y.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#a4f2ab\"><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-5f2eb2d34f0793fd8e858b18b2dd0ed2\" style=\"color:#b00012\">Select&nbsp;the graphs that show a proportional relationship between&nbsp;x&nbsp;and&nbsp;y.<\/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:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/1-6-1.png\" alt=\"\" class=\"wp-image-13604\" style=\"width:285px;height:auto\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/1-6-1.png 1000w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/1-6-1-300x300.png 300w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/1-6-1-150x150.png 150w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/1-6-1-768x768.png 768w\" sizes=\"auto, (max-width: 1000px) 100vw, 1000px\" \/><\/figure><\/div>\n\n\n<p><\/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:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/1-7-1.png\" alt=\"\" class=\"wp-image-13605\" style=\"width:282px;height:auto\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/1-7-1.png 1000w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/1-7-1-300x300.png 300w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/1-7-1-150x150.png 150w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/1-7-1-768x768.png 768w\" sizes=\"auto, (max-width: 1000px) 100vw, 1000px\" \/><\/figure><\/div><\/div><\/div>\n\n\n\n<p>To&nbsp;determine whether a graph shows a proportional relationship between&nbsp;x&nbsp;and&nbsp;y,&nbsp;see if it is a straight line passing through the&nbsp;origin.<\/p>\n\n\n\n<p>This&nbsp;graph is a straight line, but it does not pass through the&nbsp;origin.<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/1__6_-removebg-preview-1.png\" alt=\"\" class=\"wp-image-13607\" style=\"width:338px;height:auto\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/1__6_-removebg-preview-1.png 500w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/1__6_-removebg-preview-1-300x300.png 300w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/1__6_-removebg-preview-1-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p>So,&nbsp;this graph does not represent a proportional relationship between&nbsp;x&nbsp;and&nbsp;y.<\/p>\n\n\n\n<p>This&nbsp;graph is a straight line passing through the&nbsp;origin.<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/1__7_-removebg-preview.png\" alt=\"\" class=\"wp-image-13611\" style=\"width:343px;height:auto\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/1__7_-removebg-preview.png 500w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/1__7_-removebg-preview-300x300.png 300w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/1__7_-removebg-preview-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p>So,&nbsp;this graph represents a proportional relationship between&nbsp;x&nbsp;and&nbsp;y.<\/p>\n<\/div><\/div>\n\n\n\n<p class=\"has-text-color has-large-font-size\" style=\"color:#d90000\"><strong>let&#8217;s practice!<\/strong><\/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\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-333.png\" alt=\"\" class=\"wp-image-9723\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-333.png 500w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-333-300x300.png 300w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-333-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/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\/36208\/683\/790\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-342.png\" alt=\"\" class=\"wp-image-9724\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-342.png 500w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-342-300x300.png 300w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-342-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Identify proportional relationships key notes: Two&nbsp;variables have a&nbsp;proportional&nbsp;relationship&nbsp;if the ratio of one variable to the other is&nbsp;constant. The&nbsp;graph of a proportional relationship between&nbsp;x&nbsp;and&nbsp;y&nbsp;is a straight line passing through the origin, (0,&nbsp;0). Learn with an example Select&nbsp;the graphs that show a proportional relationship between&nbsp;x&nbsp;and&nbsp;y. To&nbsp;determine whether a graph shows a proportional relationship between&nbsp;x&nbsp;and&nbsp;y,&nbsp;see if it is<a class=\"more-link\" href=\"https:\/\/8thclass.deltapublications.in\/index.php\/i-6-identify-proportional-relationships\/\">Continue reading <span class=\"screen-reader-text\">&#8220;I.6 Identify proportional relationships&#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-187","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_hostinger_reach_plugin_has_subscription_block":false,"_hostinger_reach_plugin_is_elementor":false,"_links":{"self":[{"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/187","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=187"}],"version-history":[{"count":15,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/187\/revisions"}],"predecessor-version":[{"id":13987,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/187\/revisions\/13987"}],"wp:attachment":[{"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=187"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}