{"id":3765,"date":"2022-01-28T19:10:18","date_gmt":"2022-01-28T19:10:18","guid":{"rendered":"https:\/\/oryxlearning.com\/company\/?page_id=3765"},"modified":"2022-03-03T15:26:38","modified_gmt":"2022-03-03T15:26:38","slug":"proportional-relationship-on-a-graph","status":"publish","type":"page","link":"https:\/\/oryxlearning.com\/learn\/proportional-relationship-on-a-graph\/","title":{"rendered":"Proportional Relationship on a Graph"},"content":{"rendered":"[vc_section full_width=”stretch_row” content_placement=”middle” css=”.vc_custom_1633364343825{background-image: url(https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/10-min-scaled.jpg?id=2121) !important;background-position: center !important;background-repeat: no-repeat !important;background-size: cover !important;}” el_id=”bg-sec”][vc_row full_width=”stretch_row_content” el_class=”faaaq”][vc_column width=”1\/12″][\/vc_column][vc_column width=”1\/2″][vc_row_inner content_placement=”middle” el_class=”topheadingg”][vc_column_inner width=”1\/6″][vc_single_image image=”2283″ img_size=”full”][\/vc_column_inner][vc_column_inner width=”5\/6″][vc_column_text]\n<h5>Proportional Relationship on a Graph<\/h5>\n[\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=”headingnew”]Concept[\/vc_column_text][vc_column_text]A proportion is a statement that two ratios are equal. It can be written in two ways: as two equal fractions <img src=\"https:\/\/latex.codecogs.com\/svg.latex?\\fn_phv&space;\\frac{a}{b}=\\frac{c}{d}\" alt=\"\\fn_phv \\frac{a}{b}=\\frac{c}{d}\" align=\"absmiddle\" \/> ; or using a colon, <img src=\"https:\/\/latex.codecogs.com\/svg.latex?\\fn_phv&space;a:b=c:d\" alt=\"\\fn_phv a:b=c:d\" align=\"absmiddle\" \/>.<br \/>\n[\/vc_column_text][vc_column_text el_class=”headingnew”]Rules[\/vc_column_text][vc_column_text]<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/graphing-proportional-relationships\"><strong>Identifying proportional relationships through graphs:<\/strong><\/a><br \/>\nTo determine whether two quantities are proportional, graph the quantities on a coordinate plane. If the graph of the two quantities is a straight line through the origin, then the two quantities are proportional.<\/p>\n<p><a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/identify-proportional-relationships\"><strong>Identifying proportional relationships through tables:<\/strong><\/a><br \/>\nWrite the ratios as fractions and then reduce them.<br \/>\nIf the reduced fractions are the same, the ratios are proportional.[\/vc_column_text][vc_column_text el_class=”headingnew”]Example[\/vc_column_text][vc_column_text]<strong><span style=\"color: #16a085;\">Which line represents a proportional relationship?<\/span><\/strong><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/graphing-proportional-relationships\"><img loading=\"lazy\" class=\"alignnone wp-image-3266 \" style=\"margin-top: 10px;\" src=\"https:\/\/cdn.oryxlearning.com\/media_assets\/1638360651089.svg\" width=\"281\" height=\"289\" \/><\/a>[\/vc_column_text][vc_column_text el_class=”headingnew”]Solution[\/vc_column_text][vc_column_text]1. If the graph is a straight line through the origin, then it represents a proportional relationship.<br \/>\na. Graph A is a straight line and goes through the origin, so it represents a proportional relationship.<br \/>\nb. Graph B is a straight line but does not go through the origin, so it does not represent a proportional relationship.<br \/>\n<span style=\"color: #ff0000; margin-top: 10px;\">Answer: A<\/span>[\/vc_column_text][vc_column_text el_class=”headingnew”]Practice Proportional Relationship on a Graph[\/vc_column_text][vc_row_inner el_class=”boxxborder”][vc_column_inner][vc_column_text]\n<h5 style=\"margin-bottom: 10px;\">Practice Problem 1<\/h5>\n<p><strong><span style=\"color: #16a085;\">Which line represents a proportional relationship?<\/span><\/strong><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/graphing-proportional-relationships\"><img loading=\"lazy\" class=\"alignnone wp-image-3268 size-full\" style=\"margin-top: 10px;\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/11-18.png\" alt=\"Proportional Relationship on a Graph - Practice Problem 1\" width=\"269\" height=\"344\" srcset=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/11-18.png 269w, https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/11-18-235x300.png 235w\" sizes=\"(max-width: 269px) 100vw, 269px\" \/><\/a><\/p>\n[\/vc_column_text][vc_single_image image=”2159″ img_size=”full” alignment=”right” onclick=”custom_link” link=”https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/graphing-proportional-relationships”][\/vc_column_inner][\/vc_row_inner][vc_empty_space height=”30px”][vc_row_inner el_class=”boxxborder”][vc_column_inner][vc_column_text]\n<h5 style=\"margin-bottom: 10px;\">Practice Problem 2<\/h5>\n<p><strong><span style=\"color: #16a085;\">In the following table, are a and b in a proportional relationship?<\/span><\/strong><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/identify-proportional-relationships\"><img loading=\"lazy\" class=\"alignnone wp-image-3270 size-full\" style=\"margin-top: 10px;\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/12-12.png\" alt=\"Proportional Relationship on a Graph - Practice Problem 2\" width=\"199\" height=\"254\" \/><\/a><\/p>\n[\/vc_column_text][vc_single_image image=”2159″ img_size=”full” alignment=”right” onclick=”custom_link” link=”https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/identify-proportional-relationships”][\/vc_column_inner][\/vc_row_inner][vc_empty_space height=”30px”][vc_row_inner el_class=”boxxborder”][vc_column_inner][vc_column_text]\n<h5 style=\"margin-bottom: 10px;\">Practice Problem 3<\/h5>\n<p><strong><span style=\"color: #16a085;\">The ratio of chocolates and ice-creams in the boxes is given in the table below. Is the number of chocolates proportional to the number of ice-creams in each box?<\/span><\/strong><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/identify-proportional-relationships\"><img loading=\"lazy\" class=\"alignnone wp-image-3273 size-full\" style=\"margin-top: 10px;\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/13-10.png\" alt=\"Proportional Relationship on a Graph - Practice Problem 3\" width=\"244\" height=\"258\" \/><\/a><\/p>\n[\/vc_column_text][vc_single_image image=”2159″ img_size=”full” alignment=”right” onclick=”custom_link” link=”https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/identify-proportional-relationships”][\/vc_column_inner][\/vc_row_inner][vc_empty_space height=”30px”][vc_row_inner el_class=”boxxborder”][vc_column_inner][vc_column_text]\n<h5 style=\"margin-bottom: 10px;\">Practice Problem 4<\/h5>\n<p><strong><span style=\"color: #16a085;\">Select all the tables which show a and b in a proportional relationship.<\/span><\/strong><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/identifying-proportional-relationships-using-a-table\"><img loading=\"lazy\" class=\"alignnone wp-image-3275 size-full\" style=\"margin-top: 10px;\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/14-4.png\" alt=\"Proportional Relationship on a Graph - Practice Problem 4\" width=\"295\" height=\"168\" \/><\/a><\/p>\n[\/vc_column_text][vc_single_image image=”2159″ img_size=”full” alignment=”right” onclick=”custom_link” link=”https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/identifying-proportional-relationships-using-a-table”][\/vc_column_inner][\/vc_row_inner][vc_empty_space height=”30px”][\/vc_column][vc_column width=”1\/3″ css=”.vc_custom_1633369011398{margin-bottom: 50px !important;}”][vc_row_inner el_class=”stickynotee”][vc_column_inner][vc_single_image image=”2265″ img_size=”full” alignment=”center” css_animation=”fadeIn” css=”.vc_custom_1633509989314{border-radius: 10px !important;}” el_class=”stickypin”][vc_column_text]<strong>Proportional<\/strong> – when two quantities have a constant ratio or unit rate.<\/p>\n<p><strong>Non-proportional<\/strong> – when two quantities don\u2019t have a constant ratio or unit rate.<\/p>\n<p><strong>Equivalent ratios<\/strong> – ratios that have the same value.[\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=”boxxborder2″]<span style=\"color: #ed5600;\"><strong>Pre-requisite Skills<\/strong><\/span><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/understand-ratios\"><span style=\"color: #ed5600;\">Understand Ratios<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/ratios-and-fractions\"><span style=\"color: #ed5600;\">Ratios and Fractions<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/identify-and-write-equivalent-ratio\"><span style=\"color: #ed5600;\">Identify and Write Equivalent Ratio<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/finding-equivalent-ratios-using-tables\"><span style=\"color: #ed5600;\">Finding Equivalent Ratios Using Tables<\/span><\/a><\/p>\n[\/vc_column_text][vc_column_text el_class=”boxxborder2″ css=”.vc_custom_1635246085464{border-top-width: 7px !important;border-right-width: 7px !important;border-bottom-width: 7px !important;border-left-width: 7px !important;background-position: center !important;background-repeat: no-repeat !important;background-size: contain !important;border-left-color: #333399 !important;border-left-style: solid !important;border-right-color: #333399 !important;border-right-style: solid !important;border-top-color: #333399 !important;border-top-style: solid !important;border-bottom-color: #333399 !important;border-bottom-style: solid !important;border-radius: 35px !important;}”]<span style=\"color: #333399;\"><strong>Related Skills<\/strong><\/span><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/solving-proportions\"><span style=\"color: #333399;\">Solving Proportions<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/ratio-applications\"><span style=\"color: #333399;\">Ratio Applications<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/unit-rate-applications\"><span style=\"color: #333399;\">Unit Rate Applications<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/proportional-relationships-applications\"><span style=\"color: #333399;\">Proportional Relationships Applications<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/unit-rate\"><span style=\"color: #333399;\">Unit Rate<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/dimensional-analysis\"><span style=\"color: #333399;\">Dimensional Analysis<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/identifying-proportional-relationships-using-a-table\"><span style=\"color: #333399;\">Identifying Proportional Relationships Using a Table<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/solving-proportions\"><span style=\"color: #333399;\">Solving Proportions<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/constant-rate-of-change\"><span style=\"color: #333399;\">Constant Rate of Change<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/slope\"><span style=\"color: #333399;\">Slope<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/direct-variation\"><span style=\"color: #333399;\">Direct Variation<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/changes-in-dimensions\"><span style=\"color: #333399;\">Changes in Dimensions<\/span><\/a>[\/vc_column_text][vc_row_inner equal_height=”yes” el_class=”btninlinespacing”][vc_column_inner][vc_btn title=”Grade 1″ color=”warning” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F1st-grade%2Fmaths|title:Grade%201%20Math||”][vc_btn title=”Grade 2″ color=”danger” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F2nd-grade%2Fmaths|title:Grade%202%20Math||”][vc_btn title=”Grade 3″ color=”violet” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F3rd-grade%2Fmaths|title:Grade%203%20Math||”][vc_btn title=”Grade 4″ color=”blue” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F4th-grade%2Fmaths|title:Grade%204%20Math||”][vc_btn title=”Grade 5″ color=”green” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F5th-grade%2Fmaths|title:Grade%205%20Math||”][vc_btn title=”Grade 6″ color=”info” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F6th-grade%2Fmaths|title:Grade%206%20Math||”][vc_btn title=”Grade 7″ color=”vista-blue” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F7th-grade%2Fmaths|title:Grade%207%20Math||”][vc_btn title=”Grade 8″ color=”mulled-wine” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F8th-grade%2Fmaths|title:Grade%208%20Math||”][\/vc_column_inner][\/vc_row_inner][vc_row_inner equal_height=”yes” el_class=”btninlinespacing”][vc_column_inner][vc_btn title=”Ratios and Proportions” color=”warning” link=”url:https%3A%2F%2Foryxlearning.com%2Ftopics%2Fmaths%2Fratios-and-proportions|title:Ratios%20and%20Proportions||”][\/vc_column_inner][\/vc_row_inner][\/vc_column][\/vc_row][\/vc_section]\n","protected":false},"excerpt":{"rendered":"<p>[vc_section full_width=”stretch_row” content_placement=”middle” css=”.vc_custom_1633364343825{background-image: url(https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/10-min-scaled.jpg?id=2121) !important;background-position: center !important;background-repeat: no-repeat !important;background-size: cover !important;}” el_id=”bg-sec”][vc_row full_width=”stretch_row_content” el_class=”faaaq”][vc_column width=”1\/12″][\/vc_column][vc_column width=”1\/2″][vc_row_inner content_placement=”middle” el_class=”topheadingg”][vc_column_inner width=”1\/6″][vc_single_image image=”2283″ img_size=”full”][\/vc_column_inner][vc_column_inner width=”5\/6″][vc_column_text] Proportional Relationship on a Graph [\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=”headingnew”]Concept[\/vc_column_text][vc_column_text]A proportion is a statement that two ratios are equal. It can be written in two ways: as two equal fractions ; or using a colon, […]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v17.0 (Yoast SEO v17.6) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Proportional Relationship on a Graph | Oryx Learning<\/title>\n<meta name=\"description\" content=\"A proportion is a statement that two ratios are equal. 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