[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-467336-105":59,"doc-detail-467336-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-467336","Identifying Point of Intersection with Equations - Answer Key","","Worksheet answer key for solving systems of equations by finding where both lines intersect on a coordinate graph. Each problem converts the system into equations, solves for the x-value and then substitutes to obtain the y-value. The provided results list the intersection coordinates for each system, enabling verification of graph-based solutions. 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This corresponds to the coordinate where both lines meet.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How are the intersection points found?",{"text":117,"@type":113},"The solutions set up each system as two linear equations, solve for x, and substitute to compute y. The final intersection coordinate is then reported.",{"name":119,"@type":110,"acceptedAnswer":120},"Where can the correct answers be verified?",{"text":121,"@type":113},"The document provides an Answer Key listing the intersection coordinates for each numbered problem.","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},467336,1792877110,{"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":14,"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  01..9x7x-+71 2) {yy  --01..6x2x-+21\u003Cbr>3) {yy  00..7x3x-+40 4) {yy  --00..4x6x  79\u003Cbr>5) {yy  --14..255xx- +9 4 6) {yy  -50. 5x5x- 7\u003Cbr>7) {yy  10..755x-55 8) {yy  --11..2x3x  23\u003Cbr>9) {yy  05.25x-x9-2 10) {yy  --01..2x2x  38 |  |  |  |  | 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 5)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 5)[ 5](Math www.CommonCoreSheets.com 5)  \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 , 10) \u003Cbr>2.  (-5 , 4)  3.  (-10 , -7)  4.  (10 , 3)  5.  (-4 , 9)  6.  (2 , 6)  7.  (8 , 9)  8.  (10 , -10)  9.  (4 , -3)  10.  (5 , 2)  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 1) {yy  01..9x7x-+71\u003Cbr>0.9x+1 = 1.7x-7\u003Cbr>-0.8x = -8\u003Cbr>1x = 10\u003Cbr>y = (0.9×10)+1\u003Cbr>y = (1 .7×10)-7\u003Cbr>3) {yy  00..7x3x-+40\u003Cbr>0.7x+0 = 0.3x-4\u003Cbr>0.4x = -4\u003Cbr>1x = -10\u003Cbr>y = (0.7×-10)+0\u003Cbr>y = (0 .3×-10)-4\u003Cbr>5) {yy  --14..255xx- +9 4\u003Cbr>-1.25x+4 = -4 . 5x-9\u003Cbr>3.25x = -13\u003Cbr>1x = -4\u003Cbr>y = (-1.25×-4)+4\u003Cbr>y = (-4 . 5×-4)-9\u003Cbr>7) {yy  10..755x-55\u003Cbr>1.75x-5 = 0. 5x+5\u003Cbr>1.25x = 10 1x = 8\u003Cbr>y = (1 .75×8)-5\u003Cbr>y = (0.5×8)+5\u003Cbr>9) {yy  05.25x-x9-2\u003Cbr>-0.25x-2 = 1. 5x-9\u003Cbr>-1.75x = -7 1x = 4\u003Cbr>y = (-0 .25×4)-2\u003Cbr>y = (1 . 5×4)-9 | 2) {yy  --01..6x2x-+21\u003Cbr>-0. 6x+1 = -1 .2x-2 0. 6x = -3\u003Cbr>1x = -5\u003Cbr>y = (-0.6×-5)+1\u003Cbr>y = (-1 .2×-5)-2\u003Cbr>4) {yy  --00..4x6x  79\u003Cbr>-0.4x+7 = -0 . 6x+9 0.2x = 2\u003Cbr>1x = 10\u003Cbr>y = (-0.4×10)+7\u003Cbr>y = (-0.6×10)+9\u003Cbr>6) {yy  -50. 5x5x- 7\u003Cbr>5. 5x-5 = -0 . 5x+7 6x = 12\u003Cbr>1x = 2\u003Cbr>y = (5 . 5×2)-5\u003Cbr>y = (-0.5×2)+7\u003Cbr>8) {yy  --11..2x3x  23\u003Cbr>-1.2x+2 = -1 .3x+3 0. 1x = 1\u003Cbr>1x = 10\u003Cbr>y = (-1.2×10)+2\u003Cbr>y = (-1.3×10)+3\u003Cbr>10) {yy  --01..2x2x  38\u003Cbr>-0.2x+3 = -1 .2x+8 1x = 5\u003Cbr>1x = 5\u003Cbr>y = (-0.2×5)+3\u003Cbr>y = (-1.2×5)+8 |  |  |  |  |  |  |  |  |  |  |\n| 1-10 |  | 90 | 80 | 70 | 60 | 50 | 40 | 30 | 20 | 10 | 0 |\n\n[Math](Math www.CommonCoreSheets.com 5)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 5)[ 5](Math www.CommonCoreSheets.com 5)  \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  01..9x7x-+71 2) {yy  --01..6x2x-+21\u003Cbr>3) {yy  00..7x3x-+40 4) {yy  --00..4x6x  79\u003Cbr>5) {yy  --14..255xx- +9 4 6) {yy  -50. 5x5x- 7 | 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)  \n5","cbCaiuCrI7qZubbq","https://ap.wps.com/l/cbCaiuCrI7qZubbq","pdf",43106,"English","# For each system of equations\n## Determine the point of intersection in a graph","[{\"question\":\"What is the main task in these systems of equations problems?\",\"answer\":\"For each system of equations, determine the intersection point in a graph. This corresponds to the coordinate where both lines meet.\"},{\"question\":\"How are the intersection points found?\",\"answer\":\"The solutions set up each system as two linear equations, solve for x, and substitute to compute y. The final intersection coordinate is then reported.\"},{\"question\":\"Where can the correct answers be verified?\",\"answer\":\"The document provides an Answer Key listing the intersection coordinates for each numbered problem.\"}]","Identifying Point of Intersection with Equations - Answer Key | PDF",1790772721]