[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-636139-105":59,"doc-detail-636139-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-2-answers","LINEAR EQUATION FROM TWO POINTS - SHEET 2 - Answers","","Practice sheet focused on finding the equation of a straight line passing through two given points. The method uses slope m = (y2 − y1)/(x2 − x1), then applies y = mx + c to determine the intercept c by substituting one of the points. Worked answers are provided for the listed point pairs, showing intermediate slope calculations and the resulting linear equations.",{"@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-2-answers/636139/",{"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-2-answers/636139.png","ImageObject",300,407,{"name":92,"@type":93},"McGucket","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-02","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 using two points?","Question",{"text":112,"@type":113},"Compute m = (y2 − y1)/(x2 − x1) using the coordinates of the two points.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How do you determine c once you know m?",{"text":117,"@type":113},"Use y = mx + c and substitute one point’s x and y values, then solve for c.",{"name":119,"@type":110,"acceptedAnswer":120},"What form do the final answers take?",{"text":121,"@type":113},"Each result is written as an equation of the form y = mx + c (and often also rearranged, such as y = 8 − 2x).","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},636139,1792844409,{"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 2  \n• Take the two points (x1, y 1) 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 (-3, 6) and (-2, 11) 2) Points (5, -2) and (9, -10)  \n3) Points (6, 1) and (14, 3) 4) Points (4, -12) and (-1, 13)  \n5) Points (-1, -12) and (3, 16) 6) Points (4, -5) and (20, -17)  \n7) Points (-3, 11) and (7, -9) 8) Points (-1, -1) and (8, 5)  \nName Date  \nLINEAR EQUATION FROM TWO POINTS SHEET 2 ANSWERS  \n1) Points (-3, 6) and (-2, 11)  \nm = (11 – 6)/(-2 –(-3)) = 5/1 = 5 y = mx + c so this means y = 5x + c Use the point (-3, 6)  \nSubstitute values 6 = 5 (-3) + cc = 6 + 15 = 21  \nSo y = 5x + 21  \n3) Points (6, 1) and (14, 3)  \nm = (3 – 1)/(14 – 6) = 2/8 = ¼  \ny = mx + c so this means y = ¼ x + c Use the point (6, 1)  \nSubstitute values 1 = ¼ (6) + cc = 1 – 3/2 = -½  \nSo y = ¼ x – ½  \n5) Points (-1, -12) and (3, 16)  \n2) Points (5, -2) and (9, -10)  \nm = (-10 –(-2))/(9 – 5) = -8/4 = -2 y = mx + c so this means y = -2x + c Use the point (5, -2)  \nSubstitute values-2 = -2(5) + c  \n-2 = -10 + c so c = -2 + 10 = 8 So y = -2x + 8 or y = 8 – 2x  \n4) Points (4, -12) and (-1, 13)  \nm = (13 –(-12)/(-1 – 4) = 25/(-5) = -5 y = mx + c so this means y = -5x + c Use the point (4, -12)  \nSubstitute values-12 = -5(4) + cc = -12 + 20 = 8  \nSo y = -5x + 8 or y = 8 – 5x  \n6) Points (4, -5) and (20, -17)  \nm = (16 –(-12)/(3 –(-1)) = 28/4 = 7 y = mx + c so this means y = 7x + c Use the point (3, 16)  \nSubstitute values 16 = 7(3) + cc = 16 – 21 = -5  \nSo y = 7x – 5  \nm = (-17 –(-5))/(20 – 4) = -12/16 = -¾ y = mx + c so this means y = -¾ x + c Use the point (4, -5)  \nSubstitute values-5 = -¾ (4) + c  \nc = -5 + 3 = -2  \nSo y = -¾ x – 2  \n7) Points (-3, 11) and (7, -9) 8) Points (-1, -1) and (8, 5)  \nm = (-9 – 11)/(7 –(-3)) = -20/10 = -2 y = mx + c so this means y = -2x + c Use the point (-3, 11)  \nSubstitute values 11 = -2(-3) + cc = 11 – 6 = 5  \nSo y = -2x + 5 or y = 5 – 2x  \nm = (5 –(-1))/(8 –(-1)) = 6/9 = 2/3 y = mx + c so this means y = 2/3 x + c Use the point (-1, -1)  \nSubstitute values-1 = 2/3(-1) + cc = -1 + 2/3 = -1/3  \nSo y = 2/3 x – 1/3","cbCaibS7ZuDYrYtZ","https://ap.wps.com/l/cbCaibS7ZuDYrYtZ","pdf",209587,"English","# LINEAR EQUATION FROM TWO POINTS SHEET 2\n## Questions\n## Answers","[{\"question\":\"How do you find the slope using two points?\",\"answer\":\"Compute m = (y2 − y1)/(x2 − x1) using the coordinates of the two points.\"},{\"question\":\"How do you determine c once you know m?\",\"answer\":\"Use y = mx + c and substitute one point’s x and y values, then solve for c.\"},{\"question\":\"What form do the final answers take?\",\"answer\":\"Each result is written as an equation of the form y = mx + c (and often also rearranged, such as y = 8 − 2x).\"}]","LINEAR EQUATION FROM TWO POINTS - SHEET 2 - Answers | PDF",1792677586]