Question

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.

Answer 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.