[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-265021-105":3,"detail-sidebar-cat-0-en-105":81,"doc-detail-265021-en":131},{"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","coordinate-plane-ged-math-inequalities-and-slope","Coordinate Plane - GED Math - Inequalities and Slope","","Coordinate Plane lesson content focuses on graphing linear equations, linear inequalities, and interpreting graphs and functions. It explains how to use number lines for one-variable inequalities, including open versus closed circles for strict and inclusive comparisons. The lesson then builds coordinate-plane skills by using ordered pairs, the origin, and points’ x/y distances. It concludes with slope concepts, including the rise-over-run method and how slope types (positive, negative, zero, undefined/vertical) describe line direction.",{"@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/coordinate-plane-ged-math-inequalities-and-slope/265021/",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/coordinate-plane-ged-math-inequalities-and-slope/265021.png","ImageObject",300,407,{"name":42,"@type":43},"\tCallum ","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-10-27","2026-09-14",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",14,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"How do you graph one-variable inequalities on a number line?","Question",{"text":63,"@type":64},"Isolate the variable to determine the arrow direction. Use an open circle for “greater than” and “less than,” and a closed circle for “greater than or equal to” and “less than or equal to.”","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"What does an ordered pair (x, y) mean on the coordinate plane?",{"text":68,"@type":64},"The first number is the distance from the origin along the x-axis, and the second number is the distance from the origin along the y-axis.",{"name":70,"@type":61,"acceptedAnswer":71},"How is slope calculated for a line on the coordinate plane?",{"text":72,"@type":64},"Slope is measured by dividing the difference in y-coordinates by the difference in x-coordinates, described as “rise over run.”","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},265021,1789391841,{"code":4,"msg":82,"data":83},"success",[84,88,92,95,100,105,110,115,120,123,127],{"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":101,"doc_module":4,"doc_module_name":25,"category_name":102,"show_sort_weight":103,"slug":104},6,"Technology",50,"technology",{"id":106,"doc_module":4,"doc_module_name":25,"category_name":107,"show_sort_weight":108,"slug":109},7,"Healthcare",40,"healthcare",{"id":111,"doc_module":4,"doc_module_name":25,"category_name":112,"show_sort_weight":113,"slug":114},8,"Research & Report",30,"research-report",{"id":116,"doc_module":4,"doc_module_name":25,"category_name":117,"show_sort_weight":118,"slug":119},9,"Religion & Spirituality",20,"religion-spirituality",{"id":118,"doc_module":4,"doc_module_name":25,"category_name":121,"show_sort_weight":118,"slug":122},"World Cup","world-cup",{"id":124,"doc_module":4,"doc_module_name":25,"category_name":125,"show_sort_weight":124,"slug":126},10,"Lifestyle","lifestyle",{"id":128,"doc_module":4,"doc_module_name":25,"category_name":129,"show_sort_weight":96,"slug":130},19,"General","general",{"code":4,"msg":82,"data":132},{"doc_id":79,"user_id":133,"nickname":42,"user_avatar":134,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":135,"file_id":136,"file_url":137,"file_type":138,"file_size":139,"view_count":55,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":140,"language":141,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":142,"faqs":143,"seo_title":144,"seo_description":12,"update_tm":80,"read_time":145},137451211410,"https://ap-avatar.wpscdn.com/avatar/2000bb0a9246f588df?x-image-process=image/resize,m_fixed,w_180,h_180&k=1786362646172706240","The Coordinate Plane  \nLearning Objectives  \nBy the end of this lesson, you will be able to:  \n• Graph linear equations  \n• Graph linear inequalities  \n• Connect and interpret graphs and functions  \n• Connect coordinates, lines, and equations  \nGraphing One-Variable Inequalities  \nAn inequality with only one variable is graphed on a number line. Isolate the variable to determine  \nthe direction of the arrow.  \nUse an open circle to denote:  \n• “greater than”(>)  \n• “less than”(\u003C)  \nUse a closed circle to denote:  \n• “greater than or equal to”(≥)  \n• “less than or equal to”(≤)  \nx 􀀡􀀐3  \nx 􀀟 2  \nx 􀁴􀀐2  \nx 􀁤 1  \nMixed Practice  \n1. Julia wants to spend $100 or less ordering shirts from an online company. The company charges a $5 shipping fee for any order. The inequality 5 + 15n \u003C 100 represents the number of shirts, n, Julia can order from the online company. Graph all possible numbers of shirts Julia can buy.  \nClick on the number line to plot the point(s) .  \n1 2 3 4 5 6 7 8 9 10  \nGraphing on the Coordinate Plane  \nA coordinate plane is formed by two intersecting lines: an x-axis and ay-axis.  \nThe x-axis is horizontal and the y-axis is vertical.  \nThe point at which the x-axis andy-axis meet is called the origin.  \nGraphing on the Coordinate Plane  \nEach point in the coordinate plane can be named using an ordered pair.  \nThe first number is the distance from the origin along the x-axis. The second number is the distance from the origin along the y-axis. The point P is at (–1,–3) and the point M is at (2, 3) .  \nMixed Practice  \n2. What is the ordered pair for Point H?  \nA. (7,–2)  \nB. (7, 2)  \nC. (–2, 7)  \nD. (–2,–7)  \nSlope  \nA linear equation has two variables and is graphed on a coordinate plane using a line.  \nThe slope of the line is measured by dividing the difference in y-coordinates by the difference in x-coordinates, or finding the “rise over run.”  \nThe slope formula can be found on the GED Formula Sheet, but you should plan on memorizing it: m 􀀠  y2 􀀐 y1  \nx 2 􀀐 x1  \nThe slope of the line with points (2, 2) and (1,–1) is:  \n􀀐1􀀐 2 􀀐3 m 􀀠  􀀠  􀀠 3  \n1􀀐 2 􀀐1  \nMixed Practice  \n3. A telemarketing company tracks employee efficiency. Use the graph to find the rate of calls made per hour of work.  \nA. 0.055 calls per hour  \nB. 17.25 calls per hour  \nC. 18.25 calls per hour  \nD. 69 calls per hour  \nSlope  \nA line with a positive slope runs “uphill,” and a line with a negative slope runs “downhill.” A line with a slope of zero is “flat,” and a line with an undefined slope is vertical, like a cliff.  \nLine n has a positive slope. Line l has a negative slope. Line k has a slope of zero.  \nLine m has an undefined slope.","cbCaicECsXiQhwFH","https://ap.wps.com/l/cbCaicECsXiQhwFH","pdf",1402589,58,"English","# Learning Objectives\n# Graphing One-Variable Inequalities\n## Open and closed circles for inequality symbols\n# Graphing on the Coordinate Plane\n## Ordered pairs and origin\n# Mixed Practice\n# Slope\n## Rise over run and slope types","[{\"question\":\"How do you graph one-variable inequalities on a number line?\",\"answer\":\"Isolate the variable to determine the arrow direction. Use an open circle for “greater than” and “less than,” and a closed circle for “greater than or equal to” and “less than or equal to.”\"},{\"question\":\"What does an ordered pair (x, y) mean on the coordinate plane?\",\"answer\":\"The first number is the distance from the origin along the x-axis, and the second number is the distance from the origin along the y-axis.\"},{\"question\":\"How is slope calculated for a line on the coordinate plane?\",\"answer\":\"Slope is measured by dividing the difference in y-coordinates by the difference in x-coordinates, described as “rise over run.”\"}]","Coordinate Plane - GED Math - Inequalities and Slope | PDF",146]