Consider the line - 2x-4y=-2

What is the slope of a line parallel to this line

What is the slope of a line perpendicular to this line

First change it to y intercept form by isolating the y

-2x-4y=-2

+2x + 2x

-4y=2x-2 Now divide by - 4 to completely isolate the y

y=-2/4x+1/2 Simplify

y = - 1/2x + 1/2

Parallel Slope = - 1/2x

Perpendicular Slope = 2x