Question

On a coordinate plane, line D F goes through points (negative 1, negative 3) and (2, 3). Point G is at (negative 4, negative 4).
Which point on the y-axis lies on the line that passes through point G and is parallel to line DF?

(–2, 0)
(0, –2)
(0, 4)
(4, 0)

Answer 1

Slope of DF = (3 - (-3)) / (2 - (-1)) = 6/3 = 2.
Line through G(-4,-4) with slope 2: y + 4 = 2(x + 4) → y = 2x + 4.
At the y-axis (x = 0) y = 4, so the point is (0, 4).