[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-522936-105":59,"doc-detail-522936-en":131},{"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":124,"head_meta":126,"extra_data":128,"updated_unix":130},105,"en","slope-fields-worksheet-08-slope-fields","Slope Fields Worksheet 08 - Slope Fields","","Worksheet focused on sketching and interpreting slope fields for given differential equations. Students first graph solution direction fields for equations such as y' = x and y' = −xy, then analyze presented slope-field diagrams to select the differential equation that matches each pattern. Includes four multiple-choice items for identifying equations from slope fields, emphasizing how slope behavior changes across the x-y plane. ",{"@graph":69,"@context":123},[70,84,106],{"@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/slope-fields-worksheet-08-slope-fields/522936/",{"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/slope-fields-worksheet-08-slope-fields/522936.png","ImageObject",300,407,{"name":92,"@type":93},"Bintang","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-01","2026-10-08",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",12,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"What is the first task on the worksheet?","Question",{"text":113,"@type":114},"Sketch the slope field for each given differential equation.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"Which differential equations are shown in problems 1 and 2?",{"text":118,"@type":114},"Problem 1 uses dydx = x, and problem 2 uses dydx = −xy.",{"name":120,"@type":111,"acceptedAnswer":121},"How do problems 3 and 4 work?",{"text":122,"@type":114},"Each provides a slope-field image; choose the differential equation that could be represented by the given slope field.","https://schema.org",{"og:url":83,"og:type":125,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":127,"canonical":83},"index,follow",{"doc_id":129,"site_id":62},522936,1791493418,{"code":4,"msg":5,"data":132},{"doc_id":129,"user_id":133,"nickname":92,"user_avatar":134,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":135,"file_id":136,"file_url":137,"file_type":138,"file_size":139,"view_count":105,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":14,"language":140,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":67,"update_tm":144,"read_time":24,"preview_page_count":4},962085564381,"https://ap-avatar.wpscdn.com/davatar_6f874abed73319feea01a86fa6f0fab8","Kuta Software-Infinite Calculus Name   \nSlope Fields Date  Period   \nSketch the slope field for each differential equation.  \n1) dydx = x  \n−2 −1  \n2  \n1.5  \n1  \n0.5  \n−0.5  \n−1  \n−1.5  \n−2  \ny  \n1 2 x  \n2) dydx = − ~~ ~~xy  \ny  \n1 2 x  \nFor each problem, find a differential equation that could be represented with the given slope field.  \n3)  \n\n|       3       2.5       2       1.5       1      0.5\u003Cbr>| y\u003Cbr>| |\n| --- | --- | --- |\n|  |  |  |\n|  |  |  |\n| −3 −2 −1\u003Cbr>     − 0.5       −1\u003Cbr>     − 1.5       −2\u003Cbr>     − 2.5       −3 |  1  2  3 x\u003Cbr>|  |\n\nA) dydx = − ~~ ~~1x~~ ~~ B) dydx = − ~~ ~~1y C) dydx = 1 D) dydx = y 2  \n4)  \n\n| \u003Cbr>  3\u003Cbr>  2.5\u003Cbr>  2\u003Cbr>  1.5\u003Cbr>  1\u003Cbr> 0.5 | y  \u003Cbr>\u003Cbr>|  |  |  |\n| --- | --- | --- | --- | --- |\n| −3 −2 −1\u003Cbr>     ~~ ~~−~~ ~~0.5       −1\u003Cbr>     − 1.5       −2\u003Cbr>     − 2.5       −3 |  | | | 3 x\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>|\n\nA) dydx = x + y B) dydx = x − y  \ndy   dy  \nC) = xy D) = −xy  \ndx dx  \nKuta Software-Infinite Calculus Name   \nSlope Fields Date  Period   \nSketch the slope field for each differential equation.  \n1) dydx = x  \n2) dydx = − ~~ ~~xy  \nFor each problem, find a differential equation that could be represented with the given slope field.  \n3)  \n\n|       3       2.5       2       1.5       1      0.5\u003Cbr>| y\u003Cbr>| |\n| --- | --- | --- |\n|  |  |  |\n|  |  |  |\n| −3 −2 −1\u003Cbr>     − 0.5       −1\u003Cbr>     − 1.5       −2\u003Cbr>     − 2.5       −3 |  1  2  3 x\u003Cbr>|  |\n\nA) dydx = − ~~ ~~1x~~ ~~ B) dydx = − ~~ ~~1y C) dydx = 1 *D) dydx = y 2  \n4)  \n\n| \u003Cbr>  3\u003Cbr>  2.5\u003Cbr>  2\u003Cbr>  1.5\u003Cbr>  1\u003Cbr> 0.5 | y  \u003Cbr>\u003Cbr>|  |  |  |\n| --- | --- | --- | --- | --- |\n| −3 −2 −1\u003Cbr>     ~~ ~~−~~ ~~0.5       −1\u003Cbr>     − 1.5       −2\u003Cbr>     − 2.5       −3 |  | | | 3 x\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>|\n\nA) dydx = x + y *B) dydx = x − y  \ndy   dy  \nC) = xy D) = −xy  \ndx dx  \nCreate your own worksheets like this one with Infinite Calculus. Free trial available [at KutaSoftware.com](at KutaSoftware.com)","cbCaimzbsVcvlZBz","https://ap.wps.com/l/cbCaimzbsVcvlZBz","pdf",57171,"English","# Sketch the slope field\n# Match slope fields to differential equations","[{\"question\":\"What is the first task on the worksheet?\",\"answer\":\"Sketch the slope field for each given differential equation.\"},{\"question\":\"Which differential equations are shown in problems 1 and 2?\",\"answer\":\"Problem 1 uses dydx = x, and problem 2 uses dydx = −xy.\"},{\"question\":\"How do problems 3 and 4 work?\",\"answer\":\"Each provides a slope-field image; choose the differential equation that could be represented by the given slope field.\"}]","Slope Fields Worksheet 08 - Slope Fields | PDF",1791426324]