[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-467327-105":59,"doc-detail-467327-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","identifying-point-of-intersection-with-equations-answer-key","Identifying Point of Intersection with Equations - Answer Key","","Worksheet answer key for determining the point of intersection for each given system of equations by graphing. Includes nine or ten systems with two linear equations each, shows solved variable values, and provides corresponding intersection points in ordered pairs. The solutions are arranged in a structured list format so students can match each system to its intersection location on a coordinate plane.",{"@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/identifying-point-of-intersection-with-equations-answer-key/467327/",{"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/identifying-point-of-intersection-with-equations-answer-key/467327.png","ImageObject",300,407,{"name":92,"@type":93},"Ezra","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-30","2026-09-30",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 task does the worksheet ask you to do for each system of equations?","Question",{"text":112,"@type":113},"Determine the point of intersection for each system by locating where the two lines meet on a graph.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What information is provided in the answer key?",{"text":117,"@type":113},"The intersection points are given as ordered pairs (x, y) for each system listed.",{"name":119,"@type":110,"acceptedAnswer":120},"How are the systems presented in the answer key?",{"text":121,"@type":113},"Each system contains two linear equations, and the key shows the resulting intersection point for that system.","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},467327,1793046212,{"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":81,"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":39},1099514068035,"https://ap-avatar.wpscdn.com/davatar_276721f389ce27ea32af1340a28f341c","Identifying Point of Intersection with Equations  \nName:  \n\n| For each system of equations determine the point of intersection in a graph.\u003Cbr>1) {yy  21.. 5x5x 20 2) {yy  -01.25x75x++19\u003Cbr>3) {yy  -00.81xx- 1 4) {yy  --00..5x3x  86\u003Cbr>5) {yy  -00.1x6x--92 6) {yy  -00.4x3x+-34\u003Cbr>7) {yy  -00.75x25x--37 8) {yy  --21..25x75x  20\u003Cbr>9) {yy  21..5x75-12 10) {yy  43..255x9 |  |  |  |  | Answers\u003Cbr>1.  \u003Cbr>2.  \u003Cbr>3.  \u003Cbr>4.  \u003Cbr>5.  \u003Cbr>6.  \u003Cbr>7.  \u003Cbr>8.  \u003Cbr>9.  \u003Cbr>10.   |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 1-10 | 90 | 80 | 70 | 60 | 50 | 40 | 30 | 20 | 10 | 0 |\n\nMath  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \nIdentifying Point of Intersection with Equations  \nName: Answer Key  \n\n| For each system of equations determine the point of intersection in a graph. |  |  |  |  |  | Answers 1.  (2 , 3) \u003Cbr>2.  (4 , 2)  3.  (10 , 0)  4.  (10 , 3)  5.  (10 , -8)  6.  (-10 , -1)  7.  (-4 , -6)  8.  (4 , -7)  9.  (-4 , -9)  10.  (-4 , -8)  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 1) {yy  21.. 5x5x 20\u003Cbr>2. 5x-2 = 1. 5x+0 1x = 2\u003Cbr>1x = 2\u003Cbr>y = (2 . 5×2)-2\u003Cbr>y = (1.5×2)+0\u003Cbr>3) {yy  -00.81xx- 1\u003Cbr>0.8x-8 = -0 . 1x+1\u003Cbr>0.9x = 9 1x = 10\u003Cbr>y = (0 .8×10)-8\u003Cbr>y = (-0.1×10)+1\u003Cbr>5) {yy  -00.1x6x--92\u003Cbr>0. 1x-9 = -0 . 6x-2\u003Cbr>0.7x = 7 1x = 10\u003Cbr>y = (0 . 1×10)-9\u003Cbr>y = (-0 . 6×10)-2\u003Cbr>7) {yy  -00.75x25x--37\u003Cbr>0.75x-3 = -0 .25x-7 1x = -4\u003Cbr>1x = -4\u003Cbr>y = (0 .75×-4)-3\u003Cbr>y = (-0 .25×-4)-7\u003Cbr>9) {yy  21..5x75-12\u003Cbr>2. 5x+1 = 1.75x-2\u003Cbr>0.75x = -3\u003Cbr>1x = -4\u003Cbr>y = (2.5×-4)+1\u003Cbr>y = (1 .75×-4)-2 | 2) {yy  -01.25x75x++19\u003Cbr>0.25x+1 = -1 .75x+9 2x = 8\u003Cbr>1x = 4\u003Cbr>y = (0.25×4)+1\u003Cbr>y = (-1.75×4)+9\u003Cbr>4) {yy  --00..5x3x  86\u003Cbr>-0. 5x+8 = -0 .3x+6\u003Cbr>-0.2x = -2\u003Cbr>1x = 10\u003Cbr>y = (-0.5×10)+8\u003Cbr>y = (-0.3×10)+6\u003Cbr>6) {yy  -00.4x3x+-34\u003Cbr>0.4x+3 = -0 .3x-4\u003Cbr>0.7x = -7\u003Cbr>1x = -10\u003Cbr>y = (0.4×-10)+3\u003Cbr>y = (-0 .3×-10)-4\u003Cbr>8) {yy  --21..25x75x  20\u003Cbr>-2.25x+2 = -1 .75x+0\u003Cbr>-0. 5x = -2\u003Cbr>1x = 4\u003Cbr>y = (-2.25×4)+2\u003Cbr>y = (-1.75×4)+0\u003Cbr>10) {yy  43..255x9\u003Cbr>4.25x+9 = 3. 5x+6\u003Cbr>0.75x = -3\u003Cbr>1x = -4\u003Cbr>y = (4.25×-4)+9\u003Cbr>y = (3.5×-4)+6 |  |  |  |  |  |  |  |  |  |  |\n| 1-10 |  | 90 | 80 | 70 | 60 | 50 | 40 | 30 | 20 | 10 | 0 |\n\nMath  \nSeed: 1308143842-71  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \nIdentifying Point of Intersection with Equations  \nName:  \n\n| For each system of equations determine the point of intersection in a graph.\u003Cbr>1) {yy  21.. 5x5x 20 2) {yy  -01.25x75x++19\u003Cbr>3) {yy  -00.81xx- 1 4) {yy  --00..5x3x  86\u003Cbr>5) {yy  -00.1x6x--92 6) {yy  -00.4x3x+-34 | 1.\u003Cbr>2.\u003Cbr>3.\u003Cbr>4.\u003Cbr>5.\u003Cbr>6. |  | Answers |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- |\n|  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |\n| 1-6 | 83 | 67 |  | 50 | 33 | 17 | 0 |\n\nMath  \nModified  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)","cbCaitw01XATDpmr","https://ap.wps.com/l/cbCaitw01XATDpmr","pdf",42986,"English","# For each system of equations determine the point of intersection in a graph","[{\"question\":\"What task does the worksheet ask you to do for each system of equations?\",\"answer\":\"Determine the point of intersection for each system by locating where the two lines meet on a graph.\"},{\"question\":\"What information is provided in the answer key?\",\"answer\":\"The intersection points are given as ordered pairs (x, y) for each system listed.\"},{\"question\":\"How are the systems presented in the answer key?\",\"answer\":\"Each system contains two linear equations, and the key shows the resulting intersection point for that system.\"}]","Identifying Point of Intersection with Equations - Answer Key | PDF",1790772709]