Question

Given A(-1,4) B(1,5) and C(-5,3) which coordinate will make AB parallel to CD?
(-2,3)
(0,9)
(-3,4)
(5,4)

Answer 1

Parallel lines have the same slope. So you can find the slope of AB, then use that to get the D coordinate.

The slope is given by y2-y1/x2-x1.
(5-4)/(1--1)=1/2.
I would then graph a line through (-5,3) with slope 1/2. Then see which of those points is hit by the line.