Question

What is the equation of the line that is parallel to the given line and passes through the point (12, −2)?

A. y = -6/5x + 10
B. y = -6/5x + 12
C. y = –5/6x – 10
D. y = 5/6x – 12

Answer 1

D. y = 5/6x – 12

Explanation:

Our first step is to determine the slope of the given line. As we move from (0, -4) to (12, 6), x increases by 12 and y increases by 10. Thus, the slope is

m = rise/run = 10/12, or m = 5/6.

Answer option D is the only one that has the same slope. Thus, D is the answer.