[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-359271-105":3,"detail-sidebar-cat-0-en-105":81,"doc-detail-359271-en":131},{"code":4,"msg":5,"data":6},0,"ok",{"site_id":7,"language":8,"slug":9,"title":10,"keywords":11,"description":12,"schema_data":13,"social_meta":74,"head_meta":76,"extra_data":78,"updated_unix":80},105,"en","identifying-proportional-relationships-in-graphs-a-proportional-relationship-worksheets","Identifying Proportional Relationships in Graphs (A) - Proportional Relationship Worksheets","","Practice for determining whether a graph represents a proportional relationship using two required conditions: the graph must be a straight line and must pass through the origin (0,0). Includes Part A questions where students check each graph for straightness and origin intersection, and Part B tasks where students evaluate proportionality from given point sets and sketch the corresponding graph. 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Both conditions must be true.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"If a graph is straight but does not pass through (0,0), is it proportional?",{"text":68,"@type":64},"No. A straight line that misses the origin is not proportional because it fails the origin requirement.",{"name":70,"@type":61,"acceptedAnswer":71},"For a proportional graph, how do you find the equation y = kx and what does k mean?",{"text":72,"@type":64},"Identify the proportional constant k from the proportional graph or point set, then write y = kx. 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Both conditions must be true. If the line is straight but misses the origin: NOT  \nproportional. If it passes through (0, 0) but curves: NOT proportional.  \nPart A: For each graph, determine if the relationship is proportional. Explain using the two conditions: straight line AND through origin.  \n1.) Passes through (0, 0)?    \nStraight line?    \nProportional?    \nExplain:  \n2.) Passes through (0, 0)?    \nStraight line?    \nProportional?    \nExplain:  \n3.) Passes through (0, 0)?    \nStraight line?    \nProportional?    \nExplain:  \nMashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com)  \n4.) Passes through (0, 0)?    \nStraight line?    \nProportional?    \nExplain:  \n5.) Passes through (0, 0)?    \nStraight line?    \nProportional?    \nExplain:  \n6.) Passes through (0, 0)?    \nStraight line?    \nProportional?    \nExplain:  \nMashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com)  \nPart B: For each set of points on a graph, determine if the relationship is proportional. Explain using the two conditions: straight line AND through origin. Sketch the graph on the blank space provided.  \n7.) Points on the graph: (0, 1) (1, 3) (2, 5) (3, 7)  \nPasses through (0, 0)?    \nStraight line?    \nProportional?    \nExplain:  \n8.) Points on the graph: (0, 0) (4, 3) (8, 6) (12, 9)  \nPasses through (0, 0)?    \nStraight line?    \nProportional?    \nExplain:  \n9.) Points on the graph: (0, 0) (1, 5) (2, 10) (3, 15)  \nPasses through (0, 0)?    \nStraight line?    \nProportional?    \nExplain:  \n10.) Points on the graph: (0, 2) (2, 6) (4, 10) (6, 14)  \nPasses through (0, 0)?    \nStraight line?    \nProportional?    \nExplain:  \nMashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com)  \n11.) Points on the graph: (0, 0) (2, 7) (4, 14) (6, 21)  \nPasses through (0, 0)?    \nStraight line?    \nProportional?    \nExplain:  \n12.) Points on the graph: (0, 0) (1, 3) (4, 12) (9, 27)  \nPasses through (0, 0)?    \nStraight line?    \nProportional?    \nExplain:  \n13.) Challenge Problem  \nTwo students graph their data.  \n• Mia’s graph passes through (0,0), (2,8), (4,16)  \n• Jae’s graph passes through (0,3), (1,6), (2,9)  \na) Determine if each student’s graph shows a proportional relationship. Explain.  \nb) For the proportional graph, find k and write the equation y = kx.  \nc) What does k represent?  \nMashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com)  \nANSWER KEY  \n1.) Origin: Yes | Straight: Yes | Proportional: Yes—Yes—straight line through origin, k=4  \n2.) Origin: No | Straight: Yes | Proportional: No—No—straight line but does not pass through (0,0)  \n3.) Origin: Yes | Straight: Yes | Proportional: Yes—Yes—straight line through origin, k=3/2  \n4.) Origin: No | Straight: Yes | Proportional: No—No—horizontal line, does not pass through origin  \n5.) Origin: Yes | Straight: No | Proportional: No—No—passes through origin but is not a straight line (curves)  \n6.) Origin: Yes | Straight: Yes | Proportional: Yes—Yes—straight line through origin, k=2/3  \n7.) Origin: No | Straight: Yes | Proportional: No—No—straight line but y-intercept = 1, not 0  \n8.) Origin: Yes | Straight: Yes | Proportional: Yes—Yes—straight line through origin, k=3/4  \n9.) Origin: Yes | Straight: Yes | Proportional: Yes—Yes—straight line through origin, k=5  \n10.) Origin: No | Straight: Yes | Proportional: No—No—straight line but does not pass ","cbCaicrh4mACELsK","https://ap.wps.com/l/cbCaicrh4mACELsK","pdf",1090994,"English","# Part A: Graphs\n# Part B: Point Sets\n# Challenge Problem","[{\"question\":\"What two conditions make a graph proportional?\",\"answer\":\"A graph is proportional only if it is a straight line and it passes through the origin (0,0). Both conditions must be true.\"},{\"question\":\"If a graph is straight but does not pass through (0,0), is it proportional?\",\"answer\":\"No. A straight line that misses the origin is not proportional because it fails the origin requirement.\"},{\"question\":\"For a proportional graph, how do you find the equation y = kx and what does k mean?\",\"answer\":\"Identify the proportional constant k from the proportional graph or point set, then write y = kx. The value of k represents how many times the y-value is compared to the x-value.\"}]","Identifying Proportional Relationships in Graphs (A) - Proportional Relationship Worksheets | PDF",1790136554,13,[147],{"page_no":22,"url":148,"width":149,"height":150},"https://res-academy.cache.wpscdn.com/upload/kdocshare/2026-11-08/23d0ee9532424b67e2fc8b2b8f32d403.webp",983,1272]