Line AB is parallel to line CD for A(4, -5), B(-2, -3), C(x, -2), D(6, y). Find a set of possible values for x and y.

Answer 1

AB has slope 2/-6 = -1/3
So,

(y+2)/(6-x) = -1/3
3y+6 = x-6
x=3y+12

So, pick any y and that will give you an x.