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Exercises cover rearranging equations into y = mx + b form, finding intersection points of two lines, writing line equations from given coordinate pairs, and interpreting intercepts in real-world contexts such as computer value depreciation. Additional problems use graphs and tables to model costs, analyze income versus tickets sold, compare surf and internet company plans, and assess perpendicularity and quadrant intersections.",{"@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/eqao-practice-u4/450335/",{"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/eqao-practice-u4/450335.png","ImageObject",300,407,{"name":92,"@type":93},"Aria Callaghan","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-05","2026-09-30",true,{"@type":102,"interactionType":103,"userInteractionCount":19},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"How do you identify which line segment has a negative slope?","Question",{"text":112,"@type":113},"Compare the direction of each segment on the coordinate plane. A segment that decreases from left to right has a negative slope.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What does the y-intercept represent when a line is written in y = mx + b form?",{"text":117,"@type":113},"The y-intercept (b) is the value of y when x = 0, representing the initial value in the computer-value context.",{"name":119,"@type":110,"acceptedAnswer":120},"How can you determine the point of intersection of two lines?",{"text":121,"@type":113},"Set the two line equations equal to each other and solve for x, then substitute back to find the corresponding y-coordinate.","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},450335,1790813127,{"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":19,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":52,"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":144},962084926284,"https://ap-avatar.wpscdn.com/davatar_29158cc5080c5b710cf443261637dec0","|  |  |  |\n| --- | --- | --- |\n|  |  |  |\n|  |  |  |\n| Academic   |  |  |\n| Grade 9Assessment  \u003Cbr>of Mathematics  \u003Cbr>Analyse Linear Relations Practice  \u003Cbr>Education  \u003Cbr>Quality and  \u003Cbr>Accountability  \u003Cbr>Ofice   |  |  |\n\nIf A is(3,4)and Bis(7,12),whichpoint is on the line segment AB?  \nA(3,5)  \nB(4,8)  \nC(5,9)  \nD(6,10)  \nRearrange 4y-x=8so that it is in theformy=mx+b.a y=x+8b y=-x+2d  \nFour points,A,B,C and D,are markedon an xy-plane and joined by linesegments as shown.  \nx  \nWhich line segment has a negativeslope?a BAb BCC CDd AD  \n|4Given A(2,5)and B(-6,5),which  \nstatement about the line segment ABis true?  \nF The slope of AB is zero.G The slope of AB is positive.H The slope of AB is negative.J The slope of AB is undefined.  \n5What are the coordinates of the point ofintersection of the lines y=-x+1andx=3?  \nF(3,-2)  \nG(3,2)  \nH(2,3)  \nJ(-2,3)  \nWhat is the equation of a line passingthrough the points(2,5)and(4,11)?F y=x-3G y=2x-1H y=3x-1J y=4x-3  \nA computer is expected to decrease invalue over time.The relationshipbetween the value,u,of the computer indollars after t years is written as thefollowing equation:  \nU=-300t+2100  \nA line representing the relationship isgraphed.  \nTime (in years)  \nWhat does the v-intercept of the linerepresent?  \nF the decrease in value per year  \nG the initial value of the computer  \nH the number of years until the valueis $0  \nJ the number of years the computerwill work  \n# Soccer Shirts\n\nVeza uses the equation C=43n+50 to model the cost of soccer shirts for the team,where  \nC represents the total cost in dollars,and  \nn represents the number of soccer shirts.  \nVeza sketches the graph of this relationship.  \nExplain why the graph shown cannot represent the total cost of soccer shirts.List at least two reasons.  \nn  \n# Population Plans\n\nAlvin is researching the population of Canada.He finds data for the year 2001 and predictionsfor every 5 years after that,as shown below.  \n\n| Number  \u003Cbr>of years  \u003Cbr>since 2000,  \u003Cbr>t   | Population  \u003Cbr>(in millions),  \u003Cbr>P   |\n| --- | --- |\n| 1   | 31.1   |\n| 6   | 32.2   |\n| 11   | 33.4   |\n| 16   | 34.4   |\n| 21   | 35.4   |\n| 26   | 36.2   |\n\nPopulation vs.Number of Years Since 2000  \nPopulaton(in mions)  \nNumberof years since 2000  \nDetermine an algebraic model for Alvin's data,and use it to make a reasonable predictionfor the population of Canada in 2036.  \nJustify your answer.  \nWashed Up on the Shore  \nA boat is travelling from Point C toward Point D,which is on the shoreline.The shoreline is represented by the line through points A and B.  \nDetermine whether the path from C to Dis perpendicular to the shoreline.Justify your answer.  \nSurfing the Net  \nThe graph shows the relationship between total cost and minutes of use for threeInternet companies.  \nTenisha wants to sign up with one of the companies and she wants to pay as littleas possible.Her choice will depend on how many minutes of use she has.  \nCost vs.Minutes of UseMinutes of use  \nCost($)  \nDetermine which company Tenisha should use.Include details about minutes of use in yourexplanation.  \nPQ is a line segment with slopeas shown below  \nx  \nThe point R is plotted so that RQ isperpendicular to PQ.  \nWhich of the following points could bepoint R?  \na  (1,5)  \nb  (2,4)  \nC (3,2)  \nd (4,1)  \n|13How many of these equations representstraight lines?y=x-2y=2-4xy=x²+8a oneb twoC threed none  \n|14Which graph is the best match to asketch ofy=3x-4?  \nA  \nX  \nB  \nC  \nD  \n15 High school theatre companies earntheir income through start-up grantsand ticket sales.The graph shows therelationship between income,I,indollars and number of tickets sold,n.  \nIncome vs.Number of Tickets SoldNumber of tickets sold  \nncome($)  \nWhich statement is true,given theinformation shown on the graph?  \nA Company A always had moreincome than Company B.  \nB The two companies had the sameincome when 40 tickets were sold.  \nC Company A got a larger start-upgrant than Company B.  \nD Company A charged more per tickett","cbCaiubfPV5ayzFB","https://ap.wps.com/l/cbCaiubfPV5ayzFB","pdf",3565796,"English","# Linear relations\n## Slope and line segments\n## Equation forms and rearranging\n## Intersections and perpendicularity\n# Modeling with linear equations\n## Cost and value over time\n## Income versus tickets sold\n## Population prediction model","[{\"question\":\"How do you identify which line segment has a negative slope?\",\"answer\":\"Compare the direction of each segment on the coordinate plane. A segment that decreases from left to right has a negative slope.\"},{\"question\":\"What does the y-intercept represent when a line is written in y = mx + b form?\",\"answer\":\"The y-intercept (b) is the value of y when x = 0, representing the initial value in the computer-value context.\"},{\"question\":\"How can you determine the point of intersection of two lines?\",\"answer\":\"Set the two line equations equal to each other and solve for x, then substitute back to find the corresponding y-coordinate.\"}]","EQAO practice U4 | PDF",1790732916,25]