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Use the key to verify graph intersections for all given pairs of equations.",{"@graph":14,"@context":73},[15,34,56],{"@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/identifying-point-of-intersection-with-equations-answer-key-467338/467338/",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/identifying-point-of-intersection-with-equations-answer-key-467338/467338.png","ImageObject",300,407,{"name":42,"@type":43},"Ezra","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-10-30","2026-09-30",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",6,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"What does the worksheet ask you to do for each system of equations?","Question",{"text":63,"@type":64},"Determine the point of intersection on a graph for each given system of equations.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"How are the solutions to the systems presented in the answer key?",{"text":68,"@type":64},"Each solution is given as an intersection coordinate in (x, y) form.",{"name":70,"@type":61,"acceptedAnswer":71},"Does the answer key include results for all listed numbered systems?",{"text":72,"@type":64},"Yes. The answer key lists the intersection answers for each numbered system included in the worksheet.","https://schema.org",{"og:url":32,"og:type":75,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":77,"canonical":32},"index,follow",{"doc_id":79,"site_id":7},467338,1793110062,{"code":4,"msg":82,"data":83},"success",[84,88,92,95,100,104,109,114,119,122,126],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":85,"show_sort_weight":86,"slug":87},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":89,"show_sort_weight":90,"slug":91},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":93,"slug":94},70,"exam",{"id":96,"doc_module":4,"doc_module_name":25,"category_name":97,"show_sort_weight":98,"slug":99},5,"Comic",60,"comic",{"id":55,"doc_module":4,"doc_module_name":25,"category_name":101,"show_sort_weight":102,"slug":103},"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":96,"slug":129},19,"General","general",{"code":4,"msg":82,"data":131},{"doc_id":79,"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":55,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":30,"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":110},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  00.. 1x5x-+22 2) {yy  --10..3x4x-+45\u003Cbr>3) {yy  05.2xx- 8 4) {yy  --42..255x+18\u003Cbr>5) {yy  --10.. 5x5x 35 6) {yy  -00.3x5x--91\u003Cbr>7) {yy  00..3x5x-+11 8) {yy  -004.2xx- 0\u003Cbr>9) {yy  --13.. 5x5x-+31 10) {yy  --00..255x-02 |  |  |  |  | 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 6)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 6)[ 6](Math www.CommonCoreSheets.com 6)  \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 , 3) \u003Cbr>2.  (10 , -8)  3.  (10 , 6)  4.  (4 , -9)  5.  (-8 , 9)  6.  (10 , -6)  7.  (10 , 4)  8.  (10 , -2)  9.  (-2 , 4)  10.  (8 , -4)  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 1) {yy  00.. 1x5x-+22\u003Cbr>0. 1x+2 = 0. 5x-2\u003Cbr>-0.4x = -4\u003Cbr>1x = 10\u003Cbr>y = (0.1×10)+2\u003Cbr>y = (0 . 5×10)-2\u003Cbr>3) {yy  05.2xx- 8\u003Cbr>-0.2x+8 = 1. 5x-9\u003Cbr>-1.7x = -17\u003Cbr>1x = 10\u003Cbr>y = (-0.2×10)+8\u003Cbr>y = (1 . 5×10)-9\u003Cbr>5) {yy  --10.. 5x5x 35\u003Cbr>-1. 5x-3 = -0 . 5x+5\u003Cbr>-1x = 8 1x = -8\u003Cbr>y = (-1 . 5×-8)-3\u003Cbr>y = (-0.5×-8)+5\u003Cbr>7) {yy  00..3x5x-+11\u003Cbr>0.3x+1 = 0. 5x-1\u003Cbr>-0.2x = -2\u003Cbr>1x = 10\u003Cbr>y = (0.3×10)+1\u003Cbr>y = (0 . 5×10)-1\u003Cbr>9) {yy  --13.. 5x5x-+31\u003Cbr>-1. 5x+1 = -3 . 5x-3 2x = -4\u003Cbr>1x = -2\u003Cbr>y = (-1.5×-2)+1\u003Cbr>y = (-3 . 5×-2)-3 | 2) {yy  --10..3x4x-+45\u003Cbr>-1.3x+5 = -0 .4x-4\u003Cbr>-0.9x = -9\u003Cbr>1x = 10\u003Cbr>y = (-1.3×10)+5\u003Cbr>y = (-0 .4×10)-4\u003Cbr>4) {yy  --42..255x+18\u003Cbr>-4.25x+8 = -2 . 5x+1\u003Cbr>-1.75x = -7\u003Cbr>1x = 4\u003Cbr>y = (-4.25×4)+8\u003Cbr>y = (-2.5×4)+1\u003Cbr>6) {yy  -00.3x5x--91\u003Cbr>0.3x-9 = -0 . 5x-1\u003Cbr>0.8x = 8 1x = 10\u003Cbr>y = (0 .3×10)-9\u003Cbr>y = (-0 . 5×10)-1\u003Cbr>8) {yy  -004.2xx- 0\u003Cbr>-0.2x+0 = 0.4x-6\u003Cbr>-0. 6x = -6\u003Cbr>1x = 10\u003Cbr>y = (-0.2×10)+0\u003Cbr>y = (0 .4×10)-6\u003Cbr>10) {yy  --00..255x-02\u003Cbr>-0.25x-2 = -0 . 5x+0\u003Cbr>0.25x = 2 1x = 8\u003Cbr>y = (-0 .25×8)-2\u003Cbr>y = (-0.5×8)+0 |  |  |  |  |  |  |  |  |  |  |\n| 1-10 |  | 90 | 80 | 70 | 60 | 50 | 40 | 30 | 20 | 10 | 0 |\n\n[Math](Math www.CommonCoreSheets.com 6)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 6)[ 6](Math www.CommonCoreSheets.com 6)  \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  00.. 1x5x-+22 2) {yy  --10..3x4x-+45\u003Cbr>3) {yy  05.2xx- 8 4) {yy  --42..255x+18\u003Cbr>5) {yy  --10.. 5x5x 35 6) {yy  -00.3x5x--91 | 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)  \n6","cbCaiax3TorZMJZQ","https://ap.wps.com/l/cbCaiax3TorZMJZQ","pdf",42961,"English","# For each system, find the intersection point\n## Provided answer coordinates (x, y)","[{\"question\":\"What does the worksheet ask you to do for each system of equations?\",\"answer\":\"Determine the point of intersection on a graph for each given system of equations.\"},{\"question\":\"How are the solutions to the systems presented in the answer key?\",\"answer\":\"Each solution is given as an intersection coordinate in (x, y) form.\"},{\"question\":\"Does the answer key include results for all listed numbered systems?\",\"answer\":\"Yes. The answer key lists the intersection answers for each numbered system included in the worksheet.\"}]","Identifying Point of Intersection with Equations - Answer Key | PDF",1790772721]