[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-467329-105":59,"doc-detail-467329-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-467329","Identifying Point of Intersection with Equations - Answer Key","","For each given system of equations, determine the intersection point on a graph. The answer key provides the corresponding (x, y) intersection coordinates for ten separate equation pairs, listed as 1 through 10. The problems use linear equations, and the solution method relies on finding where both lines cross. The sheet includes both the prompt and the finalized coordinate results for quick verification.",{"@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-467329/467329/",{"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-467329/467329.png","ImageObject",300,407,{"name":92,"@type":93},"Ezra","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-01","2026-09-30",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},"What does the worksheet ask you to find for each system of equations?","Question",{"text":112,"@type":113},"It asks you to determine the point of intersection in a graph for each system of equations.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How are the answers presented in the answer key?",{"text":117,"@type":113},"The answer key lists the intersection points as coordinate pairs (x, y) for problems 1 through 10.",{"name":119,"@type":110,"acceptedAnswer":120},"How many systems of equations are included in the answer key?",{"text":121,"@type":113},"There are 10 systems of equations, numbered 1 through 10, with their intersection coordinates provided.","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},467329,1793067529,{"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":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  -006.1xx+-34 2) {yy  -0.0 11xx--79\u003Cbr>3) {yy  --40..25x75x-+59 4) {yy  --10..5x25-82\u003Cbr>5) {yy  --21.. 5x5x--86 6) {yy  --22..255xx- -65\u003Cbr>7) {yy  --22..25x75x--57 8) {yy  --29.. 5x5x 59\u003Cbr>9) {yy  -00.7x4x- 9 10) {yy  -008.1xx- 4 |  |  |  |  | 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\n[Math](Math www.CommonCoreSheets.com 2)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 2)[ 2](Math www.CommonCoreSheets.com 2)  \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.  (-10 , -2) \u003Cbr>2.  (-10 , -8)  3.  (4 , -8)  4.  (8 , -4)  5.  (-2 , -3)  6.  (-4 , 4)  7.  (-4 , 4)  8.  (2 , -10)  9.  (10 , 5)  10.  (10 , 3)  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 1) {yy  -006.1xx+-34\u003Cbr>-0. 1x-3 = 0. 6x+4\u003Cbr>-0.7x = 7 1x = -10\u003Cbr>y = (-0 . 1×-10)-3\u003Cbr>y = (0.6×-10)+4\u003Cbr>3) {yy  --40..25x75x-+59\u003Cbr>-4.25x+9 = -0 .75x-5\u003Cbr>-3. 5x = -14\u003Cbr>1x = 4\u003Cbr>y = (-4.25×4)+9\u003Cbr>y = (-0 .75×4)-5\u003Cbr>5) {yy  --21.. 5x5x--86\u003Cbr>-2. 5x-8 = -1 . 5x-6\u003Cbr>-1x = 2 1x = -2\u003Cbr>y = (-2 . 5×-2)-8\u003Cbr>y = (-1 . 5×-2)-6\u003Cbr>7) {yy  --22..25x75x--57\u003Cbr>-2.25x-5 = -2 .75x-7\u003Cbr>0. 5x = -2 1x = -4\u003Cbr>y = (-2 .25×-4)-5\u003Cbr>y = (-2 .75×-4)-7\u003Cbr>9) {yy  -00.7x4x- 9\u003Cbr>0.7x-2 = -0 .4x+9\u003Cbr>1. 1x = 11 1x = 10\u003Cbr>y = (0 .7×10)-2\u003Cbr>y = (-0.4×10)+9 | 2) {yy  -0.0 11xx--79\u003Cbr>-0. 1x-9 = 0. 1x-7\u003Cbr>-0.2x = 2 1x = -10\u003Cbr>y = (-0 . 1×-10)-9\u003Cbr>y = (0 . 1×-10)-7\u003Cbr>4) {yy  --10..5x25-82\u003Cbr>-1. 5x+8 = -0 .25x-2\u003Cbr>-1.25x = -10\u003Cbr>1x = 8\u003Cbr>y = (-1.5×8)+8\u003Cbr>y = (-0 .25×8)-2\u003Cbr>6) {yy  --22..255xx- -65\u003Cbr>-2.25x-5 = -2 . 5x-6\u003Cbr>0.25x = -1 1x = -4\u003Cbr>y = (-2 .25×-4)-5\u003Cbr>y = (-2 . 5×-4)-6\u003Cbr>8) {yy  --29.. 5x5x 59\u003Cbr>-2. 5x-5 = -9 . 5x+9 7x = 14\u003Cbr>1x = 2\u003Cbr>y = (-2 . 5×2)-5\u003Cbr>y = (-9.5×2)+9\u003Cbr>10) {yy  -008.1xx- 4\u003Cbr>-0. 1x+4 = 0.8x-5\u003Cbr>-0.9x = -9\u003Cbr>1x = 10\u003Cbr>y = (-0.1×10)+4\u003Cbr>y = (0 .8×10)-5 |  |  |  |  |  |  |  |  |  |  |\n| 1-10 |  | 90 | 80 | 70 | 60 | 50 | 40 | 30 | 20 | 10 | 0 |\n\n[Math](Math www.CommonCoreSheets.com 2)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 2)[ 2](Math www.CommonCoreSheets.com 2)  \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  -006.1xx+-34 2) {yy  -0.0 11xx--79\u003Cbr>3) {yy  --40..25x75x-+59 4) {yy  --10..5x25-82\u003Cbr>5) {yy  --21.. 5x5x--86 6) {yy  --22..255xx- -65 | 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)  \n2","cbCaie2d6WeVhnKJ","https://ap.wps.com/l/cbCaie2d6WeVhnKJ","pdf",42968,"English","# Systems of Equations\n## Determine the intersection point","[{\"question\":\"What does the worksheet ask you to find for each system of equations?\",\"answer\":\"It asks you to determine the point of intersection in a graph for each system of equations.\"},{\"question\":\"How are the answers presented in the answer key?\",\"answer\":\"The answer key lists the intersection points as coordinate pairs (x, y) for problems 1 through 10.\"},{\"question\":\"How many systems of equations are included in the answer key?\",\"answer\":\"There are 10 systems of equations, numbered 1 through 10, with their intersection coordinates provided.\"}]","Identifying Point of Intersection with Equations - Answer Key | PDF",1790772710]