Answer:
-2
Explanation:
First we find the slope of the equation. Then to find the slope of a perpendicular line we take the negative reciprocal (opposite sign and flip)
x - 2y = -8
Subtract x.
-2y = -x - 8
Divide by -2.
y = -x/-2 -8/-2
y = 1/2 x + 4
The slope of the given line is 1/2.
A perpendicular line has the slope:
-2
1/2 is positive so we take the opposite sign: negative
Flip over 1/2 and get 2/1. This is 2.
The negative reciprocal of 1/2 is -2.