Download Equation of a Line

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EquationofaLine
Videos191,194,195onwww.corbettmaths.com
Workout
Question1: Writedownthegradientofeachoftheselines.
(a)y=3x+1
(e)y=x−2 (b)y=2x−5
(c)y=7x+4
(d)y=10x+5
(f)y=6x
(g)y=−4x+3
(h)y=−3x−7
(i)
(j)
Question2: Writedownwhereeachoftheselinescrossthey-axis(y-intercept)
(a)y=2x+3
(b)y=7x+1
(c)y=3x−2
(d)y=x−5
(e)y=2x
(f)y=−4x+6
(g)y=−5x−3
(h)y=−3x
(i)
(j)
Question3: Writedowntheequationofthelinesbelow
(a) gradientof3andy−interceptof6
(b)gradientof2andy−interceptof−1
(c)gradientof−4andy−interceptof3 (d)gradientof8andy−interceptof4
(e)gradientof1andpassingthough(0,4)
(f)passingthrough(0,−2)withgradient4
(g)gradientof−5andpassingthroughtheorigin.
Question4:
(a)Doesthepoint(2,5)lieontheliney=3x−1?
(b)Doesthepoint(4,1)lieontheliney=3x+1?
(c)Doesthepoint(3,1)lieontheliney=x−3?
(d)Doesthepoint(5,7)lieontheliney=−3x+22?
(e)Doesthepoint(−4,−8)lieontheliney=−2x?
(f)Doesthepoint(−1,8)lieontheliney=2x+11?
(g)Doesthepoint(12,60)lieontheliney=7x−18?
© CORBETTMATHS 2016
!
EquationofaLine
Videos191,194,195onwww.corbettmaths.com
Question5: Findtheequationofeachline
(a) (b)
(c)
(d)
(e)
(f)
(g)
(h)
(i)
(j)
(k)
(l)
© CORBETTMATHS 2016
!
EquationofaLine
Videos191,194,195onwww.corbettmaths.com
Question6: Findtheequationofeachlinebelow.
(a) (b)
(c)
(d)
(f)
(e)
Question7: Findtheequationofthestraightlinethatpassesthroughthepoints
(a)(0,3)and(4,19)
(b)(0,2)and(6,20)
(c)(0,0)and(1,4)
(d)(0,−9)and(9,0)
(e)(0,−6)and(7,8)
(f)(−8,−10)and(0,14)
(g)(0,2)and(10,7)
(h)(−4,1)and(0,7)
(i)(−4,0)and(0,18)
Question8: Findtheequationofthestraightlinethat:
(a)hasagradientof4andpassesthroughthepoint(1,10)
(b)hasagradientof2andpassesthroughthepoint(−3,3)
(c)hasagradientof1andpassesthroughthepoint(5,2)
(d)hasagradientof−3andpassesthroughthepoint(−2,8)
(e)hasagradientof−5andpassesthroughthepoint(3,−1)
(f)hasagradientof½andpassesthroughthepoint(4,5)
(g)hasagradientof⅖andpassesthroughthepoint(−5,−5)
(h)hasagradientof−⅔andpassesthroughthepoint(9,15)
© CORBETTMATHS 2016
!
EquationofaLine
Videos191,194,195onwww.corbettmaths.com
Question9: Findtheequationsofthelinesbelow
(a)
(b)
(c)
(e)
(f)
(d)
Question10: Findtheequationofthestraightlinethatpassesthroughthesepairsofpoints
(a)(2,5)and(4,11)
(b)(−4,2)and(1,7)
(c)(−5,−8)and(−4,−4)
(d)(−1,−2)and(−6,3)
(e)(−6,−4)and(−3,2)
(f)(3,5)and(4,1)
(g)(−5,4)and(5,2)
(h)(1,6)and(5,4) (i)(−10,−5)and(−7,4)
Question11: Findthecoordinateswherethefollowinglinescrossthex-axis
(a)y=2x+6
(b)y=−x+4
(c)y=3x+9
(d)y=x−5 (e)y=4x+1
(f)y=−2x+10
(g)y=−4x−10
(h)y=5x+3
(i)y=½x+3
(j)x+y=8 (k)4x+2y+7=0 (l)3x+2y−8=0
Question12: Findthegradientsandthey-interceptsofeachoftheselines
(a)x+y=10
(b)x−y=4 (d)3x−y=−1
(e)8x+2y+9=0 (f)5x−2y−4=0
(g)7x=1−2y
(h)15y−6x=8
(i)⅔x+2y=5
(j)⅕y−½x=1
(k)⅔x+¾y=1½
© CORBETTMATHS 2016
(c)2x+y=6
!
EquationofaLine
Videos191,194,195onwww.corbettmaths.com
Apply
Question1: Thepoint(5,−2)liesonwhichlinesbelow
Question2: Dothepoints(1,4),(4,10)and(9,20)lieinastraightline?
Question3:
Alinehasequationy=2x+6
Thelinecrossesthex−axisatthepointA
Thelinecrossesthey−axisatthepointB ThepointChascoordinates(1,8)
Question4:
(a)FindthecoordinatesofthepointA
(b)FindthecoordinatesofthepointB
(c)FindtheequationofthestraightlinepassingthroughthepointsAandC.
Dothelinesy=3x+1and4x−2y+3=0havethesamegradients?
Question5: Line1hasequationy=3x−12
(a)FindthecoordinatesofP
(b)FindtheequationofLine2
Question6: Lexisaysthelinebelowhasan
equationofy=−2x+8
Explainhermistake.
© CORBETTMATHS 2016