Question

On a coordinate plane, a line goes through (negative 12, negative 2) and (0, negative 4). A point is at (0, 6).
Which point is on the line that passes through (0, 6) and is parallel to the given line?

(–12, 8)
(–6, 6)
(2, 8)
(6, 0)

Answer 1

Slope of the given line = (-4 - (-2)) / (0 - (-12)) = -2/12 = -1/6.
Parallel line through (0,6): y = 6 - (1/6)x.

Check (-12, 8): y = 6 - (-12)/6 = 6 + 2 = 8. So (-12, 8) is on the line.

Answer: (–12, 8)