[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-360713-105":59,"doc-detail-360713-en":130},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":123,"head_meta":125,"extra_data":127,"updated_unix":129},105,"en","identifying-proportional-relationships-in-graphs-b-proportionality-practice-worksheet","Identifying Proportional Relationships in Graphs (B) - Proportionality practice worksheet","","Worksheet focused on identifying proportional relationships in graphs using two required conditions: the graph must be a straight line and must pass through the origin (0,0). Part A evaluates individual graph scenarios by checking straight-line behavior and whether the origin is included. Part B evaluates proportionality from given point sets, asks for sketching, and includes a challenge involving distance-time graphs. An answer key provides determinations and values of k and sample equations.",{"@graph":69,"@context":122},[70,84,105],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":20,"@type":76,"position":81},"https://docshare.wps.com/document/exam/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/identifying-proportional-relationships-in-graphs-b-proportionality-practice-worksheet/360713/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/identifying-proportional-relationships-in-graphs-b-proportionality-practice-worksheet/360713.png","ImageObject",300,407,{"name":92,"@type":93},"Aditya","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-05","2026-09-23",true,{"@type":102,"interactionType":103,"userInteractionCount":46},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What two conditions determine whether a graph shows a proportional relationship?","Question",{"text":112,"@type":113},"A proportional relationship graph must be a straight line and pass through the origin (0,0). Both conditions must be true.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"If a graph is a straight line but does not pass through (0,0), is it proportional?",{"text":117,"@type":113},"No. Even if the line is straight, missing the origin means it is not proportional.",{"name":119,"@type":110,"acceptedAnswer":120},"How do you find the constant k for a proportional graph?",{"text":121,"@type":113},"For a proportional relationship, the line goes through (0,0) and follows y = kx. Using a point on the line lets you compute k and write the equation.","https://schema.org",{"og:url":83,"og:type":124,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":126,"canonical":83},"index,follow",{"doc_id":128,"site_id":62},360713,1790217909,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":133,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":46,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":24,"language":139,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":67,"update_tm":143,"read_time":144,"preview_page_count":4},962085564549,"https://ap-avatar.wpscdn.com/davatar_085a072bc5b1113ac321206ff7593b45","Name:  \n______________________________________  \nIdentifying Proportional Relationships in Graphs (B)  \nRemember: A graph shows a proportional relationship when: (1) it is a straight line, AND (2) it passes through the origin (0, 0) . 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, 2) (2, 6) (4, 10) (6, 14)  \nPasses through (0, 0)?    \nStraight line?    \nProportional?    \nExplain:  \n8.) Points on the graph: (0, 0) (6, 4) (9, 6) (12, 8)  \nPasses through (0, 0)?    \nStraight line?    \nProportional?    \nExplain:  \n9.) Points on the graph: (0, 0) (1, 7) (2, 14) (3, 21)  \nPasses through (0, 0)?    \nStraight line?    \nProportional?    \nExplain:  \n10.) Points on the graph: (0, 5) (1, 8) (2, 11) (3, 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) (3, 4) (6, 8) (9, 12)  \nPasses through (0, 0)?    \nStraight line?    \nProportional?    \nExplain:  \n12.) Points on the graph: (0, 0) (1, 2) (2, 6) (3, 12)  \nPasses through (0, 0)?    \nStraight line?    \nProportional?    \nExplain:  \n13.) Challenge Problem  \nA distance-time graph passes through (0,0),(3,12), and (6,24) .  \nAnother graph passes through (0,0), (1,2), (2,8), and (3,18) .  \na) Which graph shows a proportional relationship? How can you tell?  \nb) For the proportional graph, find k and write the equation.  \nc) What real-world situation could it 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=6  \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=5/2  \n4.) Origin: Yes | Straight: Yes | Proportional: No—No—y is constant after (0,0); not a consistent linear rise  \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=2/5  \n7.) Origin: No | Straight: Yes | Proportional: No—No—straight line but y-intercept = 2, not 0  \n8.) Origin: Yes | Straight: Yes | Proportional: Yes—Yes—straight line through origin, k=2/3  \n9.) Origin: Yes | Straight: Yes | Proportional: Yes—Yes—straight line through origin, k=7  \n10.) Origin: No | Straight: Yes | Proportional: No—No—straight line but does ","cbCaioL03ndOXVpY","https://ap.wps.com/l/cbCaioL03ndOXVpY","pdf",1020598,"English","# Part A: Graph proportionality checks\n## Condition review: straight line and through origin\n# Part B: Point sets and sketching\n## Challenge problem: distance-time graphs\n# Answer key","[{\"question\":\"What two conditions determine whether a graph shows a proportional relationship?\",\"answer\":\"A proportional relationship graph must be a straight line and pass through the origin (0,0). Both conditions must be true.\"},{\"question\":\"If a graph is a straight line but does not pass through (0,0), is it proportional?\",\"answer\":\"No. Even if the line is straight, missing the origin means it is not proportional.\"},{\"question\":\"How do you find the constant k for a proportional graph?\",\"answer\":\"For a proportional relationship, the line goes through (0,0) and follows y = kx. Using a point on the line lets you compute k and write the equation.\"}]","Identifying Proportional Relationships in Graphs (B) - Proportionality practice worksheet | PDF",1790141297,13]