Find the value of k if the line through the points (-3,k) and (3,0) is parallel to the line through the points (-4,1) and (2,5)

Answer 1

Slope = (y₂ - y₁)/(x₂ - x₁). Parallel lines have the same slope.

(0 - k)/(3 - (-3)) = (5 - 1)/(2 - (-4))

(0 - k)/6 = 4/6

0 - k = 4

-k = 4

k = -4