[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-637973-105":59,"doc-detail-637973-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-worksheet-1","Gradient of a Linear Equation - Worksheet 1","","This educational resource provides a comprehensive practice worksheet for students learning to identify the gradient (or slope) of linear equations. The document contains twenty distinct algebraic problems, starting with equations in slope-intercept form and progressing to standard form equations that require algebraic rearrangement. Each problem is designed to reinforce the understanding of the coefficient of x as the gradient. An answer key is included, detailing the step-by-step conversion for complex equations to facilitate self-assessment and mastery of linear algebraic principles. The material serves as an effective tool for classroom instruction, homework assignments, or independent study for students building foundational skills in coordinate geometry and linear algebra. The clear, structured format allows for easy tracking of progress and quick verification of solutions, ensuring students can effectively diagnose their understanding of gradient calculation methods and standard form linear equation properties.",{"@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-worksheet-1/637973/",{"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-worksheet-1/637973.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":19},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What is the primary objective of this worksheet?","Question",{"text":112,"@type":113},"The worksheet aims to help students practice finding the gradient, or slope, of twenty different linear equations.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How are the equations in the worksheet structured?",{"text":117,"@type":113},"The problems range from simple equations already in slope-intercept form (y = mx + c) to more complex equations in standard form that require algebraic manipulation to isolate y.",{"name":119,"@type":110,"acceptedAnswer":120},"Does the document provide solutions for verification?",{"text":121,"@type":113},"Yes, the document includes an answer key for all twenty problems, featuring the calculated gradient and, where necessary, the rearranged equation to clarify the solution process.","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},637973,1793150531,{"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":19,"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 1  \n• Find the gradient of each of these equations.  \n\n| 1) y = 4x-1 | Gradient: |\n| --- | --- |\n| 2) y = 8x + 5 | Gradient: |\n| 3) y = ½ x – 3 | Gradient: |\n| 4) y = -2x – 1 | Gradient: |\n| 5) y = 5 – 3x | Gradient: |\n| 6) y = 4 – ¼ x | Gradient: |\n| 7) y = ⅓ x + 8 | Gradient: |\n| 8) y = ¾ x – 7 | Gradient: |\n| 9) y = 12x-7 | Gradient: |\n| 10) y = ¾ x + 5 | Gradient: |\n| 11) 3x + y = 10 | Gradient: |\n| 12) y – 5x – 7 = 0 | Gradient: |\n| 13) ½ x + y = 5 | Gradient: |\n| 14) y – 2x + 7 = 0 | Gradient: |\n| 15) 4x – y + 2 = 0 | Gradient: |\n| 16) ¾ x + y – 1 = 0 | Gradient: |\n| 17) 4x + 2y – 6 = 0 | Gradient: |\n| 18) 9x + 3y – 12 = 0 | Gradient: |\n| 19) 8y – 4x + 16 = 0 | Gradient: |\n| 20) 3x + 2y – 7 = 0 | Gradient: |\n\nName Date  \nGRADIENT OF A LINEAR EQUATION SHEET 1 ANSWERS  \n• Find the gradient or slope of each of these equations.  \n\n| 1) y = 4x-1 | Gradient: 4 |\n| --- | --- |\n| 2) y = 8x + 5 | Gradient: 8 |\n| 3) y = ½ x – 3 | Gradient:\u003Cbr>½ |\n| 4) y = -2x – 1 | Gradient: -2 |\n| 5) y = 5 – 3x | Gradient: -3 |\n| 6) y = 4 – ¼ x | Gradient:\u003Cbr>-¼ |\n| 7) y = ⅓ x + 8 | Gradient:\u003Cbr>⅓ |\n| 8) y = ¾ x – 7 | Gradient:\u003Cbr>¾ |\n| 9) y = 12x-7 | Gradient: 12 |\n| 10) y = ¾ x + 5 | Gradient:\u003Cbr>¾ |\n| 11) 3x + y = 10 y = 10 – 3x | Gradient: -3 |\n| 12) y – 5x – 7 = 0 y = 5x + 7 | Gradient: 5 |\n| 13) ½ x + y = 5 y = 5 – ½ x | Gradient:\u003Cbr>-½ |\n| 14) y – 2x + 7 = 0 y = 2x-7 | Gradient: 2 |\n| 15) 4x – y + 2 = 0 y = 4x + 2 | Gradient: 4 |\n| 16) ¾ x + y – 1 = 0 y = 1 – ¾ x | Gradient:\u003Cbr>-¾ |\n| 17) 4x + 2y – 6 = 0 2y = 6 – 4x so y = 3 – 2x | Gradient: -2 |\n| 18) 9x + 3y – 12 = 0 3y = 12 – 9x so y = 4 – 3x | Gradient: -3 |\n| 19) 8y – 4x + 16 = 0 8y = 4x – 16 so y = ½ x – 2 | Gradient:\u003Cbr>½ |\n| 20) 3x + 2y – 7 = 0 2y = 7 – 3x so y = 7/2 – 3/2 x | Gradient: -3/2 |","cbCaibqloWyQMADa","https://ap.wps.com/l/cbCaibqloWyQMADa","pdf",207724,"English","# Linear Equation Gradient Practice\n## Answer Key and Step-by-Step Solutions","[{\"question\":\"What is the primary objective of this worksheet?\",\"answer\":\"The worksheet aims to help students practice finding the gradient, or slope, of twenty different linear equations.\"},{\"question\":\"How are the equations in the worksheet structured?\",\"answer\":\"The problems range from simple equations already in slope-intercept form (y = mx + c) to more complex equations in standard form that require algebraic manipulation to isolate y.\"},{\"question\":\"Does the document provide solutions for verification?\",\"answer\":\"Yes, the document includes an answer key for all twenty problems, featuring the calculated gradient and, where necessary, the rearranged equation to clarify the solution process.\"}]","Gradient of a Linear Equation - Worksheet 1 | PDF",1792681839]