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

D. y = 5/6x – 12

Step-by-step 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.

yep

step-by-step explanation: