[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-522726-105":3,"detail-sidebar-cat-0-en-105":81,"doc-detail-522726-en":130},{"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":74,"head_meta":76,"extra_data":78,"updated_unix":80},105,"en","planes-kuta-software-infinite-algebra-2","Planes - Kuta Software-Infinite Algebra 2","","Worksheets from Kuta Software-Infinite Algebra 2 focus on planes in 3D using standard-form plane equations. Students find intercepts for several given plane equations, then sketch each plane. Additional problems ask for traces (XY, XZ, YZ) and require writing trace equations and the corresponding plane equations. Critical thinking prompts include constructing a plane from given intercepts and forming a plane from a specified y-intercept and an XZ trace equation.",{"@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/planes-kuta-software-infinite-algebra-2/522726/",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/planes-kuta-software-infinite-algebra-2/522726.png","ImageObject",300,407,{"name":42,"@type":43},"Connor 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(x-int, y-int, z-int), and another uses a given y-intercept plus an XZ trace equation to determine the full plane equation.","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},522726,1791731973,{"code":4,"msg":82,"data":83},"success",[84,88,92,95,100,105,110,114,119,122,126],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":85,"show_sort_weight":86,"slug":87},"Story & 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\n1) −12x − 16 y − 16z = −48 2) 2x + y + z = −4  \n3) − x + y − z = 2 4) 4x + 6y + 3z = 12  \nSketch each plane.  \n5) −8x + 12 y − 12z = 24  \n7) 3x − 2 y + 3z = 6  \n6) 4x + 6y + 3z = 12  \n8) −3x + 2y − 2z = −6  \nSketch each plane and write the equation of each trace.  \n9) x + y − z = 3  \n11) 3x − 6 y − 4z = 12  \n10) −6x + 3y + 4z = 12  \n12) −3x + 2y − 2z = 6  \nCritical thinking questions:  \n13) Write the equation of a plane with the intercepts: x-int = 2  \ny-int = −3  \nz-int = 4  \n14) Write the equation of a plane with a  \ny-intercept of 2 and an XZ trace of 2x + z = 8  \nKuta Software-Infinite Algebra 2 Name   \nPlanes Date  Period   \nFind the intercepts for each plane.  \n1) −12x − 16 y − 16z = −48 2) 2x + y + z = −4  \nx-int = 4; y-int = 3; z-int = 3 x-int = −2; y-int = −4; z-int = −4  \n3) − x + y − z = 2 4) 4x + 6y + 3z = 12  \nx-int = −2; y-int = 2; z-int = −2 x-int = 3; y-int = 2; z-int = 4  \nSketch each plane.  \n5) −8x + 12 y − 12z = 24 6) 4x + 6y + 3z = 12  \n7) 3x − 2 y + 3z = 6  \ny  \n8) −3x + 2y − 2z = −6  \ny  \nSketch each plane and write the equation of each trace.  \n9) x + y − z = 3  \nz  \nXY: x + y = 3  \nXZ: x − z = 3  \nYZ: y − z = 3  \ny  \n11) 3x − 6 y − 4z = 12  \nz XY: x − 2y = 4  \nXZ: 3x − 4z = 12  \nYZ: 3 y + 2z = −6  \ny  \n10) −6x + 3y + 4z = 12  \nz XY: 2x − y = −4  \nXZ: 3x − 2z = −6  \nYZ: 3 y + 4z = 12  \n12) −3x + 2y − 2z = 6  \nz XY: 3x − 2y = −6  \nXZ: 3x + 2z = −6  \nYZ: y − z = 3  \ny  \nCritical thinking questions:  \n13) Write the equation of a plane with the intercepts: x-int = 2  \ny-int = −3  \nz-int = 4  \n6x − 4 y + 3z = 12  \n14) Write the equation of a plane with a  \ny-intercept of 2 and an XZ trace of 2x + z = 8  \n2x + 4y + z = 8  \nCreate your own worksheets like this one with Infinite Algebra 2. Free trial available [at KutaSoftware.com](at KutaSoftware.com)","cbCainlDkngPpA5w","https://ap.wps.com/l/cbCainlDkngPpA5w","pdf",45733,"English","# Find the intercepts\n## Sketch each plane\n# Sketch each plane and write trace equations\n# Critical thinking questions","[{\"question\":\"How do you find the intercepts for each plane in the worksheet?\",\"answer\":\"Set two variables to 0 and solve for the remaining variable to get x-, y-, and z-intercepts for each given plane equation.\"},{\"question\":\"What does “trace” mean on these problems?\",\"answer\":\"A trace is the intersection of the plane with a coordinate plane (XY, XZ, or YZ), and the worksheet asks for the equations of those traces.\"},{\"question\":\"How do the critical thinking problems build an equation of a plane?\",\"answer\":\"One problem constructs a plane from three intercepts (x-int, y-int, z-int), and another uses a given y-intercept plus an XZ trace equation to determine the full plane equation.\"}]","Planes - Kuta Software-Infinite Algebra 2 | PDF",1791426100]