Find the value of n so that the line perpendicular to the line with the equation -2y + 4 = 6x + 8 passes through the points at (n, -4) and (2, -8).

Question

i have to finish this really soon please help im not sure how to figure it out

Answer 1

If -2y + 4 = 6x + 8, then, -2y = 6x + 4. So, y = -3x - 2. This line has slope -3. Any line that is perpendicular to the given line will have slope 1/3.

So, (-8-(-4)) / (2-n) = 1/3.

-4/(2-n) = 1/3

2-n = -12

n = 14