consider the line -8x-4y=-7. what is the slope of a line perpendicular to this line? what is the slope of a line parallel to this line? slope of a perpendicular line:slope of a parallel line:

Answer 1

Write your equation in Slope-intercept form:

y = m x + b

where

m = the slope of the line

b = the y-value of the line's y-intercept

Your line is

- 8 x - 4 y = - 7

Add 8 x to both sides

- 4 y = 8 x - 7

Divide both sides by - 4

y = - 2 x + 7 / 4

Slope:

m = - 2

Parallel lines have the same slope.

Perpendicular lines have the negative reciprocal of the slope.

So, the slope of a line parallel to
your line is m = - 2

The slope of a line perpendicular to your line is

m = - 1 / - 2 = 1 / 2