[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-636138-105":59,"doc-detail-636138-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","linear-equation-from-two-points-sheet-1-answers","LINEAR EQUATION FROM TWO POINTS SHEET 1 - Answers","","Worksheet explains how to form the equation of a straight line using two given points. It guides students to compute slope with m=(y2−y1)/(x2−x1), then substitute into y=mx+c to find the intercept c. Eight problems provide point pairs, and the answer section shows step-by-step substitutions and resulting line equations such as y=4x−18, y=−x+17, and other derived forms.",{"@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/linear-equation-from-two-points-sheet-1-answers/636138/",{"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/linear-equation-from-two-points-sheet-1-answers/636138.png","ImageObject",300,407,{"name":92,"@type":93},"McGucket","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-03","2026-10-22",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},"How do you find the slope of the line from two points?","Question",{"text":112,"@type":113},"Use m=(y2−y1)/(x2−x1) with the two points (x1,y1) and (x2,y2).","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"After finding the slope, how do you determine c in y=mx+c?",{"text":117,"@type":113},"Substitute the slope m and one of the points into y=mx+c, then solve for c.",{"name":119,"@type":110,"acceptedAnswer":120},"What line equation form results from using two points and solving for c?",{"text":121,"@type":113},"The final line equation is y=mx+c, with m from the slope calculation and c from the substitution step.","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},636138,1792833416,{"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":14,"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":24},1236954412713,"https://us-avatar.wpscdn.com/davatar_29158cc5080c5b710cf443261637dec0","Name Date  \nLINEAR EQUATION FROM TWO POINTS SHEET 1  \n• Take the two points (x1, y1) and (x2, y2) .  \n• Use the equation m = (y2 – y1)/(x2 – x1) to determine the slope.  \n• Then use y = mx + c and one of the points for the x and y values to determine the value of c.  \n• This gives you the equation of the line y = mx + c.  \n1) Points (5, 2) and (7, 10) 2) Points (15, 2) and (7,10)  \n3) Points (-2, 10) and (8, 5) 4) Points (-4, 12) and (-6, 8)  \n5) Points (11, 20) and (9, 8) 6) Points (-3, -7) and (0, 2)  \n7) Points (-5, -8) and (1, 4) 8) Points (6, -5) and (12, 4)  \nName Date  \nLINEAR EQUATION FROM TWO POINTS SHEET 1 ANSWERS  \n1) Points (5, 2) and (7, 10)  \nm = (10 – 2)/(7 – 5) = 8/2 = 4 y = mx + c so this means y = 4x + c Use the point (5, 2)  \nSubstitute values 2 = 4(5) + cc = 2 – 20 = -18  \nSo y = 4x-18  \n3) Points (-2, 10) and (8, 5)  \n2) Points (15, 2) and (7,10)  \nm = (10 – 2)/(7 – 15) = 8/(-8) = -1 y = mx + c so this means y = -x + c Use the point (15, 2)  \nSubstitute values 2 = - (15) + cc = 2 + 15 = 17  \nSo y = -x + 17 = 17 – x  \n4) Points (-4, 12) and (-6, 8)  \nm = (5 – 10)/(8 –(-2)) = -5/10 = -½ y = mx + c so this means y = -½ x + c Use the point (-2, 10)  \nSubstitute values 10 = -½ (-2) + c 10 = 1 + c so c = 9  \nSo y = -½ x + 9 = 9 – ½ x  \nm = (8 – 12)/(-6 –(-4)) = -4/-2 = 2 y = mx + c so this means y = 2x + c Use the point (-4, 12)  \nSubstitute values 12 = 2(-4) + cc = 12 + 8 = 20  \nSo y = 2x + 20  \n5) Points (11, 20) and (9, 8)  \nm = (8 – 20)/(9 – 11) = -12/-2 = 6 y = mx + c so this means y = 6x + c Use the point (11, 20)  \nSubstitute values 20 = 6(11) + cc = 20-66 = -46  \nSo y = 6x – 46  \n7) Points (-5, -8) and (1, 4)  \n6) Points (-3, -7) and (0, 2)  \nm = (2 –(-7))/(0 –(-3)) = 9/3 = 3 y = mx + c so this means y = 3x + c Use the point (0, 2)  \nSubstitute values 2 = 3(0) + cc = 2  \nSo y = 3x + 2  \n8) Points (6, -5) and (12, 4)  \nm = (4 –(-8))/(1 –(-5)) = 12/6 = 2 y = mx + c so this means y = 2x + c Use the point (1, 4)  \nSubstitute values 4 = 2(1) + cc = 4 – 2 = 2  \nSo y = 2x + 2  \nm = (4 –(-5))/(12 – 6) = 9/6 = 3⁄2 y = mx + c so this means y = 3⁄2 x + c Use the point (12, 4)  \nSubstitute values 4 = 3⁄2 (12) + c 4 = 18 + c so c = 4 – 18 = -14 So y = 3⁄2 x – 14","cbCaieNrOwyyMRlR","https://ap.wps.com/l/cbCaieNrOwyyMRlR","pdf",207774,"English","# Linear Equation From Two Points Sheet 1\n## Problems: Given Point Pairs\n## Answers: Slopes and Line Equations","[{\"question\":\"How do you find the slope of the line from two points?\",\"answer\":\"Use m=(y2−y1)/(x2−x1) with the two points (x1,y1) and (x2,y2).\"},{\"question\":\"After finding the slope, how do you determine c in y=mx+c?\",\"answer\":\"Substitute the slope m and one of the points into y=mx+c, then solve for c.\"},{\"question\":\"What line equation form results from using two points and solving for c?\",\"answer\":\"The final line equation is y=mx+c, with m from the slope calculation and c from the substitution step.\"}]","LINEAR EQUATION FROM TWO POINTS SHEET 1 - Answers | PDF",1792677585]