[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-481021-105":59,"doc-detail-481021-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","Identifying Constant of Proportionality - Graphs - Answer Key","","Worksheets focused on identifying the constant of proportionality from graphs and writing each relationship in the form y = kx. The material includes multiple numbered problems where linear proportional relationships are matched to the correct constant. An answer key section provides the corresponding equations (e.g., y = 7x, y = 6x, y = 4x, y = 9x, y = 3x, y = 5x) for each item, supporting verification of the k value.",{"@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/481021/",{"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/481021.png","ImageObject",300,407,{"name":92,"@type":93},"Blitz","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-30","2026-09-30",true,{"@type":102,"interactionType":103,"userInteractionCount":24},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What format are students instructed to write for each problem?","Question",{"text":112,"@type":113},"Students write each relationship in the form y = kx, where k is the constant of proportionality.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How do the graphs help determine the constant of proportionality?",{"text":117,"@type":113},"The proportional graph represents a linear relationship through the origin, and the slope corresponds to the constant k.",{"name":119,"@type":110,"acceptedAnswer":120},"Where can students find the correct answers?",{"text":121,"@type":113},"The document includes an Answer Key that lists the correct equations for each numbered item.","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},481021,1792833545,{"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":24,"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) | 168\u003Cbr>126\u003Cbr>84\u003Cbr>42\u003Cbr>0 |  | | 2)\u003Cbr>4)\u003Cbr>6)\u003Cbr>8) | 90\u003Cbr>72\u003Cbr>54\u003Cbr>36\u003Cbr>18\u003Cbr>0 | |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |\n|  | 24\u003Cbr>20\u003Cbr>16\u003Cbr>12\u003Cbr>8\u003Cbr>4\u003Cbr>0\u003Cbr>72\u003Cbr>60\u003Cbr>48\u003Cbr>36\u003Cbr>24\u003Cbr>12\u003Cbr>0 | \u003Cbr>0 1 2 3 4 5 6\u003Cbr>\u003Cbr>0 2 4 6 8 10 12 |  |  | 405\u003Cbr>324\u003Cbr>243\u003Cbr>162\u003Cbr>81\u003Cbr>0\u003Cbr>180\u003Cbr>150\u003Cbr>120\u003Cbr>90\u003Cbr>60\u003Cbr>30\u003Cbr>0\u003Cbr>168\u003Cbr>140\u003Cbr>112\u003Cbr>84\u003Cbr>56\u003Cbr>28\u003Cbr>0 |  | |  |  |\n|  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |\n|  | 200\u003Cbr>160\u003Cbr>120\u003Cbr>80\u003Cbr>40\u003Cbr>0 |  | |  |  |  |  |  |  |\n\n\n|  |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- |\n\n1-8 88 75 63 50 38 25 13 0  \n[Math](Math www.CommonCoreSheets.com 9)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 9)[ 9](Math www.CommonCoreSheets.com 9)  \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 = 7x |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 1) 168\u003Cbr>126\u003Cbr>84\u003Cbr>42\u003Cbr>0 |  |  | | 2) 90\u003Cbr>72\u003Cbr>54\u003Cbr>36\u003Cbr>18\u003Cbr>0 | |  |  |  |\n|  |  |  |  |  |  |  |  | y = 6x |\n|  |  |  |  |  |  |  |  | y = 4x |\n|  |  |  |  |  |  |  |  | y = 9x |\n|  | 0 6 12 18 24 0 3 6 9 12 15 |  |  |  |  |  |  |  |\n| 3) | 24\u003Cbr>20\u003Cbr>16\u003Cbr>12\u003Cbr>8\u003Cbr>4\u003Cbr>0 | |  | 4) 405\u003Cbr>324\u003Cbr>243\u003Cbr>162\u003Cbr>81\u003Cbr>0 |  | | 5.\u003Cbr>6.\u003Cbr>7.\u003Cbr>8. | y = 6x |\n|  |  |  |  |  |  |  |  | y = 3x |\n|  |  |  |  |  |  |  |  | y = 5x |\n|  |  |  |  |  |  |  |  | y = 7x |\n|  |  |  |  |  |  |  |  |  |\n| 5) | 0 1 2 3 4 5 6 0 9 18 27 36 45 |  |  |  |  |  |  |  |\n|  | 72\u003Cbr>60\u003Cbr>48\u003Cbr>36\u003Cbr>24\u003Cbr>12\u003Cbr>0 | |  | 6) 180\u003Cbr>150\u003Cbr>120\u003Cbr>90\u003Cbr>60\u003Cbr>30\u003Cbr>0 |  | |  |  |\n| 7) | 0 2 4 6 8 10 12 0 10 20 30 40 50 60 |  |  |  |  |  |  |  |\n|  | 200\u003Cbr>160\u003Cbr>120\u003Cbr>80\u003Cbr>40\u003Cbr>0 |  | | 8) 168\u003Cbr>140\u003Cbr>112\u003Cbr>84\u003Cbr>56\u003Cbr>28\u003Cbr>0 |  | |  |  |\n|  | 0 8 16 24 32 40 0 4 8 12 16 20 24 |  |  |  |  |  |  |  |\n\n[Math](Math www.CommonCoreSheets.com 9 1-8)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 9 1-8)[ 9](Math www.CommonCoreSheets.com 9 1-8)[ 1-8](Math www.CommonCoreSheets.com 9 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\u003Cbr>\u003Cbr>y = 6x y = 6x y = 3x y = 9x\u003Cbr>y = 4x y = 7x\u003Cbr>1)\u003Cbr>3)\u003Cbr>5)\u003Cbr>\u003Cbr>2)\u003Cbr>4)\u003Cbr>6)\u003Cbr>| Answers\u003Cbr>1.  \u003Cbr>2.  \u003Cbr>3.  \u003Cbr>4.  \u003Cbr>5.  \u003Cbr>6.   |\n| --- | --- |\n\nMath  \nModified  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n9  \n1-6  83  67  50  33  17  0","cbCaijezRLMZn8fn","https://ap.wps.com/l/cbCaijezRLMZn8fn","pdf",48495,"English","# Identify the constant of proportionality\n## Write the equation as y = kx\n## Use the graphs to find k\n## Check with the answer key","[{\"question\":\"What format are students instructed to write for each problem?\",\"answer\":\"Students write each relationship in the form y = kx, where k is the constant of proportionality.\"},{\"question\":\"How do the graphs help determine the constant of proportionality?\",\"answer\":\"The proportional graph represents a linear relationship through the origin, and the slope corresponds to the constant k.\"},{\"question\":\"Where can students find the correct answers?\",\"answer\":\"The document includes an Answer Key that lists the correct equations for each numbered item.\"}]","Identifying Constant of Proportionality - Graphs - Answer Key | PDF",1790796005]