Question

On a coordinate plane, line K L goes through (negative 6, 8) and (6, 0). Point M is at (negative 4, negative 2).
Which point could be on the line that is parallel to line KL and passes through point M?

(–10, 0)
(–6, 2)
(0, –6)
(8, –10)

Answer 1

Slope of KL = (0 - 8)/(6 - (-6)) = -8/12 = -2/3. A line through M(-4,-2) parallel to KL must have slope -2/3. Check (8, -10): slope from M to (8,-10) = (-10 - (-2))/(8 - (-4)) = -8/12 = -2/3.

So (8, -10) is on the parallel line.