The slopeof the line in the diagramis. Nowfind the oppositereciprocalof that value.First swapthenumeratorand denominatorin the fraction,then find its opposite.The oppositereciprocalof is. The
answeris A.
GraphingStrategies
Thereare a numberof waysto graphlinesusingslopesand points.This is an importantskill to use
throughoutalgebraand geometry. If you writean equationin algebra,it can help you to see the general
slopeof a line and understandits trend.This couldbe particularlyhelpfulif you are makinga financial
analysisof a businessplan,or are tryingto figureout how long it will take you saveenoughmoneyto buy
somethingspecial.In geometry, knowingthe behaviorof differenttypesof functionscan be helpfulto under-
standand makepredictionsaboutshapes,sizes,and trends.
Thereare two simplewaysto createa lineargraph.The first is to use two pointsthat are givento you. Plot
themon a coordinategrid, and drawa line segmentconnectingthem.This segmentcan be expandedto
representthe entireline that passesthroughthosetwo points.
Example 7
Drawthe line that passesthrough andBeginby plottingthesepointson a coordinategrid. Rememberthat the first numberin the orderedpairrepresentsthe -valueand the secondnumberrepresentsthe -value.