Question

On a coordinate plane, line P Q goes through (negative 3, negative 3) and (3, negative 1). Point R is at (1, 1).
Which point on the y-axis is on the line that passes through point R and is parallel to line PQ?

(0, Two-thirds)
(0, 4)
(Two-thirds, 0)
(4, 0)

Answer 1

Slope of PQ = (-1 - (-3)) / (3 - (-3)) = 2/6 = 1/3.
Line through R(1,1) with slope 1/3: y - 1 = (1/3)(x - 1) → y = (1/3)x + 2/3.
At x = 0, y = 2/3. So the point is (0, Two-thirds).