[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-637978-105":59,"doc-detail-637978-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-5","Gradient of a Linear Equation - Sheet 5","","This educational worksheet provides a comprehensive set of exercises for calculating the gradient of a linear equation. It features diverse problem types, including identifying the gradient from linear equations in slope-intercept form, calculating the gradient from two given coordinate points, and deriving the gradient from a line graph. The document includes a dedicated answer key with step-by-step working out for all eight problems, enabling students to verify their solutions, understand the process of slope calculation, and master key algebraic concepts effectively.",{"@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-5/637978/",{"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-5/637978.png","ImageObject",300,407,{"name":92,"@type":93},"mieayamfan","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-30","2026-10-22",true,{"@type":102,"interactionType":103,"userInteractionCount":29},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"How do you find the gradient of a line given its equation?","Question",{"text":112,"@type":113},"When the equation is in the form y = mx + c, the coefficient of x, represented by 'm', is the gradient of the line.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What formula is used to calculate the gradient from two points?",{"text":117,"@type":113},"The gradient (m) is calculated using the formula m = (y2 – y1) / (x2 – x1), where (x1, y1) and (x2, y2) are the two points on the line.",{"name":119,"@type":110,"acceptedAnswer":120},"How can you determine the gradient from a graph?",{"text":121,"@type":113},"Choose two distinct points on the line shown on the graph, then apply the gradient formula m = (y2 – y1) / (x2 – x1) using the coordinates of those points.","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},637978,1792877225,{"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":29,"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 5  \n• Find the gradient of each of these lines, coordinates and equations.  \n\n| WORKING OUT |  |\n| --- | --- |\n| 1) | y = 5x-4 |\n| 2) | A line which passes through points:\u003Cbr>(-1, 5) and (5, 23) |\n| 3) | |\n| 4) | y = 7 – 4x |\n| 5) | A line which passes through points\u003Cbr>(7, 12) and (-1, 8) |\n| 6) | |\n| 7) | 2x + y – 12 = 0 |\n| 8) | A line which passes through points\u003Cbr>(-3, -4) and (9, 5) |\n\nName Date  \nGRADIENT OF A LINEAR EQUATION SHEET 5 ANSWERS  \n• Find the gradient of each of these lines, coordinates and equations.  \n| WORKING OUT |  |  |\n| --- | --- | --- |\n| 1) | y = 5x-4 | Gradient: 5 |\n| 2) | A line which passes through points:(-1, 5) and (5, 23) | m = (23 – 5)/(5 –(-1)) = 18/6 = 3 The gradient is 3 |\n| 3) | | Choose points (0, 6) and (6, 0) m = (0 – 6) / (6 – 0) = -6/6 = -1 The gradient is-1. |\n| 4) | y = 7 – 4x | Gradient: -4 |\n| 5) | A line which passes through points (7, 12) and (-1, 8) | m = (8 – 12) / (-1 – 7) = -4/-8 = ½ The gradient is ½ or 0.5 |\n| 6) | | Choose points (-6, 2) and (6, 6) m = (6 – 2) / (6 –(-6)) = 4/12 = 1/3 The gradient is ⅓ or 0.333 |\n| 7) | 2x + y – 12 = 0 | Gradient: -2 |\n| 8) | A line which passes through points (-3, -4) and (9, 5) | m = (5 –(-4)) / (9 –(-3)) = 9/12 = ¾ The gradient is ¾ or 0.75 |","cbCaipzjoWHEJO07","https://ap.wps.com/l/cbCaipzjoWHEJO07","pdf",220215,"English","# Calculation Exercises\n## Answer Key","[{\"question\":\"How do you find the gradient of a line given its equation?\",\"answer\":\"When the equation is in the form y = mx + c, the coefficient of x, represented by 'm', is the gradient of the line.\"},{\"question\":\"What formula is used to calculate the gradient from two points?\",\"answer\":\"The gradient (m) is calculated using the formula m = (y2 – y1) / (x2 – x1), where (x1, y1) and (x2, y2) are the two points on the line.\"},{\"question\":\"How can you determine the gradient from a graph?\",\"answer\":\"Choose two distinct points on the line shown on the graph, then apply the gradient formula m = (y2 – y1) / (x2 – x1) using the coordinates of those points.\"}]","Gradient of a Linear Equation - Sheet 5 | PDF",1792681849]