[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-464151-105":59,"doc-detail-464151-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","drawing-line-with-different-rate-of-change","Drawing Line with Different Rate of Change","","Worksheet and answer key focused on graphing lines using given Y-intercepts and comparing rates of change (slopes). Students sketch lines that meet constraints such as “smaller” or “greater” rate of change than a reference equation, then determine the slope from the required linear form. Problems cover multiple intercepts and slope comparisons, providing numerical setup and corresponding target equations to verify correct sketching.",{"@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/drawing-line-with-different-rate-of-change/464151/",{"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/drawing-line-with-different-rate-of-change/464151.png","ImageObject",300,407,{"name":92,"@type":93},"Finn","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-04","2026-09-30",true,{"@type":102,"interactionType":103,"userInteractionCount":19},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What does the worksheet ask students to do?","Question",{"text":112,"@type":113},"Sketch lines using specified Y-intercepts, then answer based on the slope (rate of change).","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How is “smaller” or “greater” rate of change used in the problems?",{"text":117,"@type":113},"Each item gives a reference equation, and students must choose a line with a rate of change that is smaller or greater than that reference while keeping the required Y-intercept.",{"name":119,"@type":110,"acceptedAnswer":120},"Where can students check correctness?",{"text":121,"@type":113},"The document includes an “Answer Key” that provides the expected slope or result for each sketching prompt.","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},464151,1790767749,{"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":19,"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":129,"read_time":39},34359740700684,"https://ap-avatar.wpscdn.com/avatar/1f400023980c374ae676?_k=1777273430885731487","Drawing Line with Different Rate of Change  \nName:  \n\n| Sketch your line then answer with your slope. |  | Answers\u003Cbr>1.  \u003Cbr>2.  \u003Cbr>3.  \u003Cbr>4.  \u003Cbr>5.  \u003Cbr>6.   |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 1) Sketch a line with a Y intercept of 6 anda smaller rate of change than:\u003Cbr>-6\u003Cbr>Y = ⁄-1 + 6 | 2) Sketch a line with a Y intercept of 9 anda greater rate of change than:\u003Cbr>-1\u003Cbr>Y = ⁄9 + 9 |  |  |  |  |  |  |  |\n| |  |  |  |  |  |  |  |  |\n| 3) Sketch a line with a Y intercept of-9 and a greater rate of change than:\u003Cbr>-4\u003Cbr>Y = ⁄6-9 | 4) Sketch a line with a Y intercept of-3 and a greater rate of change than:\u003Cbr>-4\u003Cbr>Y = ⁄-2-3 |  |  |  |  |  |  |  |\n| \u003Cbr>5) Sketch a line with a Y intercept of 6 anda greater rate of change than:\u003Cbr>-4\u003Cbr>Y = ⁄6 + 6\u003Cbr> | \u003Cbr>6) Sketch a line with a Y intercept of 0 anda greater rate of change than:\u003Cbr>-1\u003Cbr>Y = ⁄8 + 0\u003Cbr> |  |  |  |  |  |  |  |\n| 1-6 |  |  | 83 | 67 | 50 | 33 | 17 | 0 |\n\n[Math](Math www.CommonCoreSheets.com 1)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 1)[ 1](Math www.CommonCoreSheets.com 1)  \nDrawing Line with Different Rate of Change  \nName: Answer Key  \n\n| Sketch your line then answer with your slope. |  | Answers\u003Cbr>-6\u003Cbr>\u003C | ⁄\u003Cbr>1.  -1 | > |-1⁄ |\u003Cbr>2.  9 -4\u003Cbr>3.  > | ⁄6 | \u003Cbr>-4\u003Cbr>> | ⁄ |\u003Cbr>4.  -2 \u003Cbr>> |-4⁄ 5.  6 | \u003Cbr>-1\u003Cbr>6.  > | ⁄8 |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 1) Sketch a line with a Y intercept of 6 anda smaller rate of change than:\u003Cbr>-6\u003Cbr>Y = ⁄-1 + 6 | 2) Sketch a line with a Y intercept of 9 anda greater rate of change than:\u003Cbr>-1\u003Cbr>Y = ⁄9 + 9 |  |  |  |  |  |  |  |\n| | |  |  |  |  |  |  |  |\n| 3) Sketch a line with a Y intercept of-9 and a greater rate of change than:\u003Cbr>-4\u003Cbr>Y = ⁄6-9 | 4) Sketch a line with a Y intercept of-3 and a greater rate of change than:\u003Cbr>-4\u003Cbr>Y = ⁄-2-3 |  |  |  |  |  |  |  |\n| | |  |  |  |  |  |  |  |\n| 5) Sketch a line with a Y intercept of 6 anda greater rate of change than:\u003Cbr>-4\u003Cbr>Y = ⁄6 + 6\u003Cbr>| 6) Sketch a line with a Y intercept of 0 anda greater rate of change than:\u003Cbr>-1\u003Cbr>Y = ⁄8 + 0\u003Cbr>|  |  |  |  |  |  |  |\n| 1-6 |  |  | 83 | 67 | 50 | 33 | 17 | 0 |\n\n[Math](Math www.CommonCoreSheets.com 1)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 1)[ 1](Math www.CommonCoreSheets.com 1)  \nDrawing Line with Different Rate of Change  \nName:  \n\n| Sketch your line then answer with your slope. |  |  | Answers\u003Cbr>1.  \u003Cbr>2.  \u003Cbr>3.  \u003Cbr>4.   |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- |\n| 1) Sketch a line with a Y intercept of 6 anda smaller rate of change than:\u003Cbr>-6\u003Cbr>Y = ⁄-1 + 6 |  | 2) Sketch a line with a Y intercept of 9 anda greater rate of change than:\u003Cbr>-1\u003Cbr>Y = ⁄9 + 9 |  |  |  |  |  |\n| \u003Cbr>3) Sketch a line with a Y intercept of-9 and a greater rate of change than:\u003Cbr>-4\u003Cbr>Y = ⁄6-9\u003Cbr> | \u003Cbr>4) Sketch a line with a Y intercept of-3 and a greater rate of change than:\u003Cbr>-4\u003Cbr>Y = ⁄-2-3\u003Cbr> |  |  |  |  |  |  |\n| 1-4 |  |  |  | 75 | 50 | 25 | 0 |\n\nMath  \nModified  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n1","cbCaiumMjsTE1Yhk","https://ap.wps.com/l/cbCaiumMjsTE1Yhk","pdf",50304,"English","# Sketch Lines with Given Y-Intercepts\n## Compare Rate of Change (Slopes)\n## Determine Slopes from Linear Constraints","[{\"question\":\"What does the worksheet ask students to do?\",\"answer\":\"Sketch lines using specified Y-intercepts, then answer based on the slope (rate of change).\"},{\"question\":\"How is “smaller” or “greater” rate of change used in the problems?\",\"answer\":\"Each item gives a reference equation, and students must choose a line with a rate of change that is smaller or greater than that reference while keeping the required Y-intercept.\"},{\"question\":\"Where can students check correctness?\",\"answer\":\"The document includes an “Answer Key” that provides the expected slope or result for each sketching prompt.\"}]","Drawing Line with Different Rate of Change | PDF"]