Question

What is the equation of the line that is perpendicular to y = 2x + 3 and passes through the point (−4, 8). pls show work

Answer 1

y = -1/2x + 6.

Explanation:

Answer 2

y = -1/2x + 6.

Explanation:

The line perpendicular to y = 2x + 3 has slope of - 1/2 so we can write it as

y = -1/2x + c

When x = -4, y = 8 so we substitute:

8 = -1/2 (-4) + c

8 = 2 + c

c = 8-2 = 6

So, the answer is

y = -1/2x + 6.