[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-637976-105":59,"doc-detail-637976-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","gradient-of-a-linear-equation-sheet-4-mathematics-practice","Gradient of a Linear Equation - Sheet 4 - Mathematics Practice","","This educational worksheet provides structured practice for students learning to calculate the gradient of linear equations represented on coordinate planes. The document outlines the specific steps required to determine the slope, including identifying two distinct points (x1, y1) and (x2, y2) on a given line and applying the mathematical formula m = (y2 – y1) / (x2 – x1). By working through three distinct graphical examples, learners are encouraged to express their final results as simplified fractions or whole numbers. Additionally, the document includes a comprehensive answer key with detailed, step-by-step working out for each problem, demonstrating how to select appropriate points from the graph and compute the resulting gradient correctly. This resource is designed to strengthen foundational algebraic skills through visual problem-solving and systematic calculation methods.",{"@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/gradient-of-a-linear-equation-sheet-4-mathematics-practice/637976/",{"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/gradient-of-a-linear-equation-sheet-4-mathematics-practice/637976.png","ImageObject",300,407,{"name":92,"@type":93},"mieayamfan","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-31","2026-10-22",true,{"@type":102,"interactionType":103,"userInteractionCount":34},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What formula is used to calculate the gradient of a linear equation?","Question",{"text":112,"@type":113},"The gradient is calculated using the formula m = (y2 – y1) / (x2 – x1), where (x1, y1) and (x2, y2) are two points lying on the line.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How should the final answer for the gradient be expressed?",{"text":117,"@type":113},"The answer should be provided as either a whole number or as a fraction in its simplest form.",{"name":119,"@type":110,"acceptedAnswer":120},"What is the gradient of the first line shown in the document?",{"text":121,"@type":113},"By choosing points (-6, 6) and (6, 0), the calculation results in a gradient of -1/2 or -0.5.","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},637976,1792856094,{"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":34,"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},962090893677,"https://ap-avatar.wpscdn.com/davatar_3d24733baf745e90a7e4bdd5f77d97b2","Name Date  \nGRADIENT OF A LINEAR EQUATION SHEET 4  \n• Take the two points (x1, y 1) and (x2, y2) which lie on the line shown.  \n• Find the gradient using the equation m = (y2 – y1 )/(x2 –x1) .  \n• Give your answer as a whole number or as a fraction in simplest form.  \nWORKING OUT  \n1)  \n2)  \n3)  \nName Date  \nGRADIENT OF A LINEAR EQUATION SHEET 4 ANSWERS  \n1)  \n2)  \n3)  \nWORKING OUT  \nTake two points (-6, 6) and (6,0) m = (0 – 6)/(6 –(-6)) = -6/12 = -½ The gradient is-½ or-0.5  \nTake two points (-3, -6) and (5, 6) m = (6 –(-6))/(5 –(-3)) = 12/8 = 3/2 The gradient is 3/2 or 1 ½  \nTake two points (-6, 6) and (3, -6) m = (-6 – 6)/(3 –(-6)) = -12/9 = -4/3 The gradient is-4/3 or-1 ⅓","cbCaidjAsRQaUEl2","https://ap.wps.com/l/cbCaidjAsRQaUEl2","pdf",219575,"English","# Gradient of a Linear Equation Sheet 4\n## Methodology for Calculating Gradient\n## Practice Problems\n## Answer Key and Step-by-Step Solutions","[{\"question\":\"What formula is used to calculate the gradient of a linear equation?\",\"answer\":\"The gradient is calculated using the formula m = (y2 – y1) / (x2 – x1), where (x1, y1) and (x2, y2) are two points lying on the line.\"},{\"question\":\"How should the final answer for the gradient be expressed?\",\"answer\":\"The answer should be provided as either a whole number or as a fraction in its simplest form.\"},{\"question\":\"What is the gradient of the first line shown in the document?\",\"answer\":\"By choosing points (-6, 6) and (6, 0), the calculation results in a gradient of -1/2 or -0.5.\"}]","Gradient of a Linear Equation - Sheet 4 - Mathematics Practice | PDF",1792681844]