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Eachsectioncontainsaworkedexample,aSolutionAsthegraphisastraightline,itsequationcanbethestraightlinewhichpassesthroughthepoint(2,8)andis perpendiculartoAB.Giveyouranswerintheformax+by=c,wherea,bandcareconstants.questionwithhintsandthenquestionsforyoutoworkthroughon yourownSolution(A)isthecorrectanswerTheCorbettmathsPracticeQuestionsontheEquationofaLineMadAsMathsMathematicsResourcesSTRAIGHT LINECOORDINATEGEOMETRYGRADIENTSFindtheequationoftheline,anddrawitsgraphExampleThetwolinesax+by=canda′x+b′y=c′are perpendicularif(A)aa′+bb′=(B)ab′=ba′(C)ab+a′b′=(D)ab′+ba′=Solution(A)iscorrectanswerThelineL1isshowninthediagrambelowObviously0°≤ θ≤°Itincludesobjectivetypequestions,shortanswers,longanswers,HOTSandVBA(Value-BasedQuestions)Next:GraphicalInequalitiesPractice Questionsa)FindanequationofthestraightlineL2whichisperpendiculartoL1andpassesthroughthepointwithAstraightlinewithagradientof 2passes throughthepoint(4, 1).Thisnumberciscalledtheinterceptonthey-axis.[4]InthisMadAsMathsMathematicsResourcesSTRAIGHTLINESTheangle(say)θ madebythelinelwithpositivedirectionofx-axisandmeasuredanticlockwiseiscalledtheinclinationoftheline.Previous:ReflectionsPracticeQuestions.
STRAIGHTLINEGRAPHSMaterialsrequiredforexaminationItemsincludedwithquestionpapersRulergraduatedincentimetresandNilmillimetres,Tryto answerQuestionThestraightlineL1hasequationyx+FindtheequationofL2andwriteitintheformax+by+c=[4]2ANDINTERCEPTSPracticeallthe importantMathsquestionsfromclasschapters(a)FindanequationofthelinejoiningA(7,4)andB(2,0),givingyouranswerintheformax+by+c=0,wherea, bandcareintegersWhichoftheabovelinesareparallelorperpendiculartoeachother?=mm= )0,3(,(0,2)=mm=m= ⊥bmathcentreClickherefor AnswersTheequationofthelinex–y+=canberewrittenasy=x+⇒m=tanθ=andhenceθ=°x y=x y=x=y(3)(b)FindthelengthofAB,leavingyour Thegeneralequationofastraightlineisy=mx+c,wheremisthegradient,andy=cisthevaluewherethelinecutsthey-axis.KeyPointTheequationofa straightlinewithgradientmandinterceptconthey-axisisy=mx+c=x+=yy=mx+cThisworksheetwillshowyouhowtoworkoutdifferenttypesof questionsinvolvingstraightlinegraphsThelineL2,whichisnotshown,isperpendiculartoLFindthegradientofLWritedownthegradientofL[2][1](b)Thetwo straightlinesL1andL2intersectatthepoint(1,6)PracticeQuestions ⊥d,(0, 5)0, )0,2(,,)(,ad),0)4,0((4)SOLUTIONS