[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-636143-105":3,"doc-detail-636143-en":80,"detail-sidebar-cat-0-en-105":96},{"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-worksheet-2","Finding Linear Equations That Are Parallel - Worksheet 2","","This educational worksheet provides a series of mathematical exercises focused on finding linear equations that are parallel to a given equation while passing through a specific coordinate point. The document includes a structured practice table with eleven problems, followed by a complete answer key with calculated gradients and final linear equations. 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Therefore, you first identify the gradient from the original linear equation, which remains the same for the new equation.",{"name":69,"@type":60,"acceptedAnswer":70},"Where can I find the solutions to the practice problems?",{"text":71,"@type":63},"The document includes a section titled 'FINDING LINEAR EQUATIONS THAT ARE PARALLEL SHEET 2 ANSWERS' which provides the gradient and the resulting linear equation for all eleven problems.","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},636143,1792899641,{"code":4,"msg":81,"data":82},"success",{"doc_id":78,"user_id":83,"nickname":42,"user_avatar":84,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":85,"file_id":86,"file_url":87,"file_type":88,"file_size":89,"view_count":30,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":26,"language":90,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":91,"faqs":92,"seo_title":93,"seo_description":12,"update_tm":94,"read_time":95},1236954412713,"https://us-avatar.wpscdn.com/davatar_29158cc5080c5b710cf443261637dec0","Name Date  \nFINDING LINEAR EQUATIONS THAT ARE PARALLEL SHEET 2  \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\u003Cbr>Point: | Gradient | Linear Equation |\n| --- | --- | --- | --- | --- |\n|  | y = 5 – 3x | (2, 4) | -3 | y = 10 – 3x |\n| 1) | y = 7x – 12 | (-1, 2) |  |  |\n| 2) | y = 12 – 5x | (-2, 1) |  |  |\n| 3) | y = ½ x + 2 | (8, 9) |  |  |\n| 4) | y = 1 – ⅓x | (6, -2) |  |  |\n| 5) | y = 2(x + 3) | (8, 11) |  |  |\n| 6) | y = 4(2x + 1) | (-3, -15) |  |  |\n| 7) | y = 3(7 –x) | (-2, 12) |  |  |\n| 8) | 4x + y – 8 = 0 | (6, -4) |  |  |\n| 9) | 9x – y + 5 = 0 | (3, 15) |  |  |\n| 10) | 6x + 3y – 12 = 0 | (-1, -6) |  |  |\n| 11) | 6 – 3y + 9x = 0 | (7, 10) |  |  |\n\nName Date  \nFINDING LINEAR EQUATIONS THAT ARE PARALLEL SHEET 2 ANSWERS  \n|  | Linear Equation | Going through\u003Cbr>Point: | Gradient | Linear Equation |\n| --- | --- | --- | --- | --- |\n| 1) | y = 7x – 12 | (-1, 2) | 7 | y = 7x + 9 |\n| 2) | y = 12 – 5x | (-2, 1) | -5 | y = -5x-9 |\n| 3) | y = ½ x + 2 | (8, 9) | ¾ | y = ½ x + 5 |\n| 4) | y = 1 – ⅓x | (6, -2) | -⅓ | y = -⅓x |\n| 5) | y = 2(x + 3) | (8, 11) | 2 | y = 2x-5 |\n| 6) | y = 4(2x + 1) | (-3, -15) | 8 | y = 8x + 9 |\n| 7) | y = 3(7 –x) | (-2, 12) | -3 | y = 6-3x |\n| 8) | 4x + y – 8 = 0 | (6, -4) | -4 | y = 20 – 4x |\n| 9) | 9x – y + 5 = 0 | (3, 15) | 9 | y = 9x – 12 |\n| 10) | 6x + 3y – 12 = 0 | (-1, -6) | -2 | y = -2x – 8 |\n| 11) | 6 – 3y + 9x = 0 | (7, 10) | 3 | y = 3x-11 |","cbCailwRogRiNJFu","https://ap.wps.com/l/cbCailwRogRiNJFu","pdf",225900,"English","# Practice Worksheet\n## Answer Key","[{\"question\":\"What is the goal of this worksheet?\",\"answer\":\"The worksheet aims to help students calculate the new linear equation that is parallel to a provided equation and passes through a specific given coordinate point.\"},{\"question\":\"How do you determine the gradient of a parallel line?\",\"answer\":\"Parallel lines share the same gradient. Therefore, you first identify the gradient from the original linear equation, which remains the same for the new equation.\"},{\"question\":\"Where can I find the solutions to the practice problems?\",\"answer\":\"The document includes a section titled 'FINDING LINEAR EQUATIONS THAT ARE PARALLEL SHEET 2 ANSWERS' which provides the gradient and the resulting linear equation for all eleven problems.\"}]","Finding Linear Equations That Are Parallel - Worksheet 2 | PDF",1792677596,5,{"code":4,"msg":81,"data":97},[98,102,106,109,113,118,123,128,133,136,140],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":99,"show_sort_weight":100,"slug":101},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":103,"show_sort_weight":104,"slug":105},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":107,"slug":108},70,"exam",{"id":95,"doc_module":4,"doc_module_name":25,"category_name":110,"show_sort_weight":111,"slug":112},"Comic",60,"comic",{"id":114,"doc_module":4,"doc_module_name":25,"category_name":115,"show_sort_weight":116,"slug":117},6,"Technology",50,"technology",{"id":119,"doc_module":4,"doc_module_name":25,"category_name":120,"show_sort_weight":121,"slug":122},7,"Healthcare",40,"healthcare",{"id":124,"doc_module":4,"doc_module_name":25,"category_name":125,"show_sort_weight":126,"slug":127},8,"Research & Report",30,"research-report",{"id":129,"doc_module":4,"doc_module_name":25,"category_name":130,"show_sort_weight":131,"slug":132},9,"Religion & Spirituality",20,"religion-spirituality",{"id":131,"doc_module":4,"doc_module_name":25,"category_name":134,"show_sort_weight":131,"slug":135},"World Cup","world-cup",{"id":137,"doc_module":4,"doc_module_name":25,"category_name":138,"show_sort_weight":137,"slug":139},10,"Lifestyle","lifestyle",{"id":141,"doc_module":4,"doc_module_name":25,"category_name":142,"show_sort_weight":95,"slug":143},19,"General","general"]