[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-481028-105":59,"doc-detail-481028-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-constant-of-proportionality-graphs-answer-key-481028","Identifying Constant of Proportionality - Graphs - Answer Key","","Worksheets on identifying the constant of proportionality from graphical representations. Students determine the proportionality constant by analyzing plotted points and expressing the relationship as y = kx. The material includes multiple problems with different graphs and answer fields for writing the value of k, along with an answer key that provides the corresponding equations for each graph scenario.",{"@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-constant-of-proportionality-graphs-answer-key-481028/481028/",{"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-constant-of-proportionality-graphs-answer-key-481028/481028.png","ImageObject",300,407,{"name":92,"@type":93},"Blitz","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-01","2026-09-30",true,{"@type":102,"interactionType":103,"userInteractionCount":39},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What does “constant of proportionality” mean in y = kx problems?","Question",{"text":112,"@type":113},"It is the value k that describes how y changes in direct proportion to x. The relationship is written as y = kx.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How do you find k from a graph in these worksheets?",{"text":117,"@type":113},"Use the plotted points to determine the slope of the line through the origin. That slope equals the proportionality constant k in y = kx.",{"name":119,"@type":110,"acceptedAnswer":120},"What should students enter in the answers section?",{"text":121,"@type":113},"Students enter the equation or the value of k that matches each graph, following the instruction to write the relationship as y = kx.","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},481028,1792833546,{"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":39,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":81,"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":39},24464137899374,"https://us-avatar.wpscdn.com/davatar_3d24733baf745e90a7e4bdd5f77d97b2","Identifying Constant of Proportionality (Graphs)  \nName:  \n\n| Identify the constant of proportionality. Write your answer as y = kx |  |  |  |  |  |  |  | 1.\u003Cbr>2.\u003Cbr>3.\u003Cbr>4.\u003Cbr>5.\u003Cbr>6.\u003Cbr>7.\u003Cbr>8. | Answers |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 1)\u003Cbr>3)\u003Cbr>5)\u003Cbr>7) | 90\u003Cbr>75\u003Cbr>60\u003Cbr>45\u003Cbr>30\u003Cbr>15\u003Cbr>0 | |  | 2)\u003Cbr>4)\u003Cbr>6)\u003Cbr>8) | 42\u003Cbr>35\u003Cbr>28\u003Cbr>21\u003Cbr>14\u003Cbr>7\u003Cbr>0\u003Cbr>48\u003Cbr>36\u003Cbr>24\u003Cbr>12\u003Cbr>0\u003Cbr>40\u003Cbr>30\u003Cbr>20\u003Cbr>10\u003Cbr>0 | |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |\n|  | 150\u003Cbr>120\u003Cbr>90\u003Cbr>60\u003Cbr>30\u003Cbr>0 |  | |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |\n|  | 60\u003Cbr>48\u003Cbr>36\u003Cbr>24\u003Cbr>12\u003Cbr>0 | |  |  |  |  |  |  |  |\n|  | 288\u003Cbr>216\u003Cbr>144\u003Cbr>72\u003Cbr>0 |  | |  | 486\u003Cbr>405\u003Cbr>324\u003Cbr>243\u003Cbr>162\u003Cbr>81\u003Cbr>0 |  | |  |  |\n\n[Math](Math www.CommonCoreSheets.com 5 1-8)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 5 1-8)[ 5](Math www.CommonCoreSheets.com 5 1-8)[ 1-8](Math www.CommonCoreSheets.com 5 1-8) 88 75 63 50 38 25 13 0  \n\n|  |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- |\n\nIdentifying Constant of Proportionality (Graphs)  \nName: Answer Key  \n\n| Identify the constant of proportionality. Write your answer as y = kx |  |  |  |  |  |  |  | 1.\u003Cbr>2.\u003Cbr>3.\u003Cbr>4. | Answers\u003Cbr>y = 5x |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 1) 90\u003Cbr>75\u003Cbr>60\u003Cbr>45\u003Cbr>30\u003Cbr>15\u003Cbr>0 |  | |  | 2) 42\u003Cbr>35\u003Cbr>28\u003Cbr>21\u003Cbr>14\u003Cbr>7\u003Cbr>0 |  | |  |  |  |\n|  |  |  |  |  |  |  |  |  | y = 7x |\n|  |  |  |  |  |  |  |  |  | y = 6x |\n|  |  |  |  |  |  |  |  |  | y = 3x |\n|  | 0 3 6 9 12 15 18 |  |  |  | 0 1 2 3 4 5 6 |  |  |  |  |\n| 3) | 150\u003Cbr>120\u003Cbr>90\u003Cbr>60\u003Cbr>30\u003Cbr>0 |  | | 4) | 48\u003Cbr>36\u003Cbr>24\u003Cbr>12\u003Cbr>0 | |  | 5.\u003Cbr>6.\u003Cbr>7.\u003Cbr>8. | y = 2x |\n|  |  |  |  |  |  |  |  |  | y = 5x |\n|  |  |  |  |  |  |  |  |  | y = 9x |\n|  |  |  |  |  |  |  |  |  | y = 9x |\n|  |  |  |  |  |  |  |  |  |  |\n| 5) | 0 5 10 15 20 25 |  |  |  | 40\u003Cbr>30\u003Cbr>20\u003Cbr>10\u003Cbr>0 | |  |  |  |\n|  | 60\u003Cbr>48\u003Cbr>36\u003Cbr>24\u003Cbr>12\u003Cbr>0 | |  | 6) |  |  |  |  |  |\n| 7) | 0 6 12 18 24 30 |  |  |  | 0 2 4 6 8 |  |  |  |  |\n|  | 288\u003Cbr>216\u003Cbr>144\u003Cbr>72\u003Cbr>0 |  | | 8) | 486\u003Cbr>405\u003Cbr>324\u003Cbr>243\u003Cbr>162\u003Cbr>81\u003Cbr>0 |  | |  |  |\n|  | 0 8 16 24 32 |  |  |  | 0 9 18 27 36 45 54 |  |  |  |  |\n\n[Math](Math www.CommonCoreSheets.com 5 1-8)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 5 1-8)[ 5](Math www.CommonCoreSheets.com 5 1-8)[ 1-8](Math www.CommonCoreSheets.com 5 1-8) 88 75 63 50 38 25 13 0  \n\n|  |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- |\n\nIdentifying Constant of Proportionality (Graphs)  \nName:  \n\n| Identify the constant of proportionality. Write your answer as y = kx y = 6xy = 7x\u003Cbr>y = 5xy = 5x y = 3x y = 2x\u003Cbr>1) 90\u003Cbr>75\u003Cbr>60\u003Cbr>45\u003Cbr>30\u003Cbr>15\u003Cbr>0\u003Cbr>\u003Cbr>2) 42\u003Cbr>35\u003Cbr>28\u003Cbr>21\u003Cbr>14\u003Cbr>7\u003Cbr>0 \u003Cbr>3) 0 3 6 9 12 15 18\u003Cbr>150\u003Cbr>120\u003Cbr>90\u003Cbr>60\u003Cbr>30\u003Cbr>0\u003Cbr>\u003Cbr>4) 48\u003Cbr>36\u003Cbr>24\u003Cbr>12\u003Cbr>0 0 1 2 3 4 5 6\u003Cbr>5) 0 5 10 15 20 25\u003Cbr>60\u003Cbr>48\u003Cbr>36\u003Cbr>24\u003Cbr>12\u003Cbr>0\u003Cbr>\u003Cbr>6)\u003Cbr>0 6 12 18 24 30 40\u003Cbr>30\u003Cbr>20\u003Cbr>10\u003Cbr>0 0 4 8 12 16\u003Cbr>\u003Cbr>0 2 4 6 8\u003Cbr>| 1.\u003Cbr>2.\u003Cbr>3.\u003Cbr>4.\u003Cbr>5.\u003Cbr>6. | Answers |\n| --- | --- | --- |\n|  |  |  |\n|  |  |  |\n|  |  |  |\n|  |  |  |\n|  |  |  |\n|  |  |  |\n\nMath  \nModified  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n5  \n1-6  83  67  50  33  17  0","cbCaiuYSlbhzD4J5","https://ap.wps.com/l/cbCaiuYSlbhzD4J5","pdf",48373,"English","# Identify the constant of proportionality\n## Express as y = kx\n## Use the graphs to find k","[{\"question\":\"What does “constant of proportionality” mean in y = kx problems?\",\"answer\":\"It is the value k that describes how y changes in direct proportion to x. The relationship is written as y = kx.\"},{\"question\":\"How do you find k from a graph in these worksheets?\",\"answer\":\"Use the plotted points to determine the slope of the line through the origin. That slope equals the proportionality constant k in y = kx.\"},{\"question\":\"What should students enter in the answers section?\",\"answer\":\"Students enter the equation or the value of k that matches each graph, following the instruction to write the relationship as y = kx.\"}]","Identifying Constant of Proportionality - Graphs - Answer Key | PDF",1790796018]