Question

What is the equation of a line that passes through the point (4,-3) and is parallel to the line that passes through the points (-14,-4) and (48,27)?

A. y = -1/2x + 3
B. y = -9x + 9
C. y = 9x - 3
D. y = 1/2x - 5

Answer 1

Option D is the correct

Answer 2

Answer is D. y = 1/2x -5

Step by step

First I found slope using the two points
(-14, -4) and (48, 27)

y2 - y1 over x2 - x1

27 - - 4 over 48 - -14

31 over 62 = 1/2 slope

Only option D. has 1/2 slope

Then I graphed it and the lines are parallel