C1

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THE LINE V PASSES THROUGH THE POINTS(-5,3)&(7,-3)&THE LINE W PASSES THROUGH THE POINTS (2,-4)&(4,2).THE LINE V&W INTERSECT AT THE POINT A.WORK OUT THE COORDINATES OF THE POINT A

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  • C1 -

    Find equation of line V
    (y-3)/(x+5)= (-6/12)
    -6 x - 30 = 12 y - 36
    12 y = -6 x + 6
    6 y = -3 x + 3
    Find equation of line W
    (y+4)/(x-2) = 6/2 = 3
    3 x - 6 = y + 4
    y = 3 x - 10
    Find intersection
    6 y = -3 x + 3
    1 y = +3 x - 10
    --------------
    7 y = -0 x - 7
    y = -1
    -7 = 3 x - 10
    3 x = 3
    x = 1
    so
    (1,-1)

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