Question

On a coordinate plane, line A B goes through (negative 4, 0) and (2, negative 3). Point C is at (negative 2, 2).
Which point on the x-axis lies on the line that passes through point C and is parallel to line AB?

(1, 0)
(1, 1)
(0, 2)
(2, 0)

Answer 1

Slope of AB = (-3 - 0)/(2 - (-4)) = -3/6 = -1/2.
Line through C(-2,2) with slope -1/2: y - 2 = -1/2(x + 2) → y = -1/2 x + 1.
Set y = 0 (x-axis): 0 = -1/2 x + 1 → x = 2.

So the point is (2, 0).