if the line through A(k,p) and B(3,2) and the line through C(k-1,p+2) and D(-4,3) meet at(1,-2).find the values of k and p.

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  1. AB: (y-2) = (p-2)/(k-3) (x-3)
    CD: (y-3) = (p-1)/(k+3) (x+4)

    At (1,-2) we have

    -4 = -2(p-2)/(k-3)
    -5 = 5(p-1)/(k+3)

    -4(k-3) = -2(p-2)
    -5(k+3) = 5(p-1)

    now just solve for k and p.

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