[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-636141-105":3,"detail-sidebar-cat-0-en-105":80,"doc-detail-636141-en":130},{"code":4,"msg":5,"data":6},0,"ok",{"site_id":7,"language":8,"slug":9,"title":10,"keywords":11,"description":12,"schema_data":13,"social_meta":73,"head_meta":75,"extra_data":77,"updated_unix":79},105,"en","finding-linear-equations-that-are-parallel-sheet-1","Finding Linear Equations That Are Parallel - Sheet 1","","This educational worksheet provides a series of math problems focused on finding linear equations that are parallel to a given line and pass through a specific coordinate. The document includes eleven distinct problems, requiring students to identify the gradient of a given equation and derive the corresponding parallel equation using point-slope logic. An answer key is provided to facilitate self-assessment, making this a useful resource for students practicing coordinate geometry and algebraic functions.",{"@graph":14,"@context":72},[15,34,55],{"@type":16,"itemListElement":17},"BreadcrumbList",[18,23,27,31],{"item":19,"name":20,"@type":21,"position":22},"https://docshare.wps.com","Home","ListItem",1,{"item":24,"name":25,"@type":21,"position":26},"https://docshare.wps.com/document/","Document",2,{"item":28,"name":29,"@type":21,"position":30},"https://docshare.wps.com/document/exam/","Exam",3,{"item":32,"name":10,"@type":21,"position":33},"https://docshare.wps.com/document/finding-linear-equations-that-are-parallel-sheet-1/636141/",4,{"url":32,"name":10,"@type":35,"image":36,"author":41,"headline":10,"publisher":44,"fileFormat":47,"inLanguage":8,"description":12,"dateModified":48,"datePublished":49,"encodingFormat":47,"isAccessibleForFree":50,"interactionStatistic":51},"DigitalDocument",{"url":37,"@type":38,"width":39,"height":40},"https://docshare.wps.com/thumbnails/finding-linear-equations-that-are-parallel-sheet-1/636141.png","ImageObject",300,407,{"name":42,"@type":43},"McGucket","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-10-30","2026-10-22",true,{"@type":52,"interactionType":53,"userInteractionCount":33},"InteractionCounter",{"@type":54},"ViewAction",{"@type":56,"mainEntity":57},"FAQPage",[58,64,68],{"name":59,"@type":60,"acceptedAnswer":61},"How do you find the equation of a line parallel to a given line?","Question",{"text":62,"@type":63},"Parallel lines share the same gradient. To find the equation, identify the gradient from the original equation, then use the given coordinate point to solve for the y-intercept (c) in the formula y = mx + c.","Answer",{"name":65,"@type":60,"acceptedAnswer":66},"What is the gradient of the line y = 3 – 2x?",{"text":67,"@type":63},"The gradient of the line y = 3 – 2x is -2.",{"name":69,"@type":60,"acceptedAnswer":70},"How are parallel equations verified in this worksheet?",{"text":71,"@type":63},"The worksheet provides a coordinate point that the new line must pass through. By calculating the new equation using the original gradient and the specified point, students can ensure the line is parallel and correctly positioned.","https://schema.org",{"og:url":32,"og:type":74,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":76,"canonical":32},"index,follow",{"doc_id":78,"site_id":7},636141,1792920196,{"code":4,"msg":81,"data":82},"success",[83,87,91,94,99,104,109,114,119,122,126],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":84,"show_sort_weight":85,"slug":86},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":88,"show_sort_weight":89,"slug":90},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":92,"slug":93},70,"exam",{"id":95,"doc_module":4,"doc_module_name":25,"category_name":96,"show_sort_weight":97,"slug":98},5,"Comic",60,"comic",{"id":100,"doc_module":4,"doc_module_name":25,"category_name":101,"show_sort_weight":102,"slug":103},6,"Technology",50,"technology",{"id":105,"doc_module":4,"doc_module_name":25,"category_name":106,"show_sort_weight":107,"slug":108},7,"Healthcare",40,"healthcare",{"id":110,"doc_module":4,"doc_module_name":25,"category_name":111,"show_sort_weight":112,"slug":113},8,"Research & Report",30,"research-report",{"id":115,"doc_module":4,"doc_module_name":25,"category_name":116,"show_sort_weight":117,"slug":118},9,"Religion & Spirituality",20,"religion-spirituality",{"id":117,"doc_module":4,"doc_module_name":25,"category_name":120,"show_sort_weight":117,"slug":121},"World Cup","world-cup",{"id":123,"doc_module":4,"doc_module_name":25,"category_name":124,"show_sort_weight":123,"slug":125},10,"Lifestyle","lifestyle",{"id":127,"doc_module":4,"doc_module_name":25,"category_name":128,"show_sort_weight":95,"slug":129},19,"General","general",{"code":4,"msg":81,"data":131},{"doc_id":78,"user_id":132,"nickname":42,"user_avatar":133,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":33,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":26,"language":139,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":12,"update_tm":143,"read_time":95},1236954412713,"https://us-avatar.wpscdn.com/davatar_29158cc5080c5b710cf443261637dec0","Name Date  \nFINDING LINEAR EQUATIONS THAT ARE PARALLEL SHEET 1  \n• Find the gradient of the linear equation and then work out the new linear equation which is parallel to the one shown and goes through the given coordinate.  \n\n|  | Linear Equation | Going through Point: | Gradient | Linear Equation |\n| --- | --- | --- | --- | --- |\n|  | y = 2 – x | (5, 4) | -1 | y = 9-x |\n| 1) | y = x – 6 | (2, 8) |  |  |\n| 2) | y = 3 – 2x | (8, -10) |  |  |\n| 3) | y = 4x – 7 | (2, -1) |  |  |\n| 4) | y = 11 – 3x | (6, 0) |  |  |\n| 5) | y = -x – 5 | (-2, 5) |  |  |\n| 6) | y = 7x – 10 | (5, 27) |  |  |\n| 7) | y = 9 – 5x | (2, -9) |  |  |\n| 8) | y = 6x + 9 | (-3, -12) |  |  |\n| 9) | y = ½ x – 4 | (4, 7) |  |  |\n| 10) | y = 2 – ¼ x | (0, -2) |  |  |\n| 11) | y = ½ x + ½ | (8, 9) |  |  |\n\nName Date  \nFINDING LINEAR EQUATIONS THAT ARE PARALLEL SHEET 1 ANSWERS  \n• Find the gradient of the linear equation and then work out the new linear equation which is parallel to the one shown and goes through the given coordinate.  \n\n|  | Linear Equation | Going through Point: | Gradient | Linear Equation |\n| --- | --- | --- | --- | --- |\n| 1) | y = x – 6 | (2, 8) | 1 | y = x + 6 |\n| 2) | y = 3 – 2x | (8, -10) | -2 | y = 6 – 2x |\n| 3) | y = 4x – 7 | (2, -1) | 4 | y = 4x – 9 |\n| 4) | y = 11 – 3x | (6, 0) | -3 | y = 18 – 3x |\n| 5) | y = -x – 5 | (-2, 5) | -1 | y = -x + 3 = 3 –x |\n| 6) | y = 7x – 10 | (5, 27) | 7 | y = 7x-8 |\n| 7) | y = 9 – 5x | (2, -9) | -5 | y = 1 – 5x |\n| 8) | y = 6x + 9 | (-3, -12) | 6 | y = 6x + 6 |\n| 9) | y = ½ x – 4 | (4, 7) | ½ | y = ½ x + 5 |\n| 10) | y = 2 – ¼ x | (0, -2) | -¼ | y = -¼ x-2 |\n| 11) | y = ½ x + ½ | (8, 9) | ½ | y = ½ x + 5 |","cbCaibnyP27kgo7K","https://ap.wps.com/l/cbCaibnyP27kgo7K","pdf",225714,"English","# Worksheet: Finding Linear Equations That Are Parallel\n## Answer Key","[{\"question\":\"How do you find the equation of a line parallel to a given line?\",\"answer\":\"Parallel lines share the same gradient. To find the equation, identify the gradient from the original equation, then use the given coordinate point to solve for the y-intercept (c) in the formula y = mx + c.\"},{\"question\":\"What is the gradient of the line y = 3 – 2x?\",\"answer\":\"The gradient of the line y = 3 – 2x is -2.\"},{\"question\":\"How are parallel equations verified in this worksheet?\",\"answer\":\"The worksheet provides a coordinate point that the new line must pass through. By calculating the new equation using the original gradient and the specified point, students can ensure the line is parallel and correctly positioned.\"}]","Finding Linear Equations That Are Parallel - Sheet 1 | PDF",1792677590]