Question

Find the slope of the line that is parallel and perpendicular to the following equation.

-4x - 4y = 16

Answer 1

• -4x-4y=16

Convert to y=mx+b form

• -4y=4x+16
• y=-x-4

Slope:-

• m=-1

Parallel lines have equal slope

Perpendicular line's slope=1

Answer 2

Slope of the line that is parallel: -1

Slope of the line that is perpendicular: 1

Explanation:

For the parallel line:

Rewrite your equation to slope-intercept form: y = mx + b

y = mx + b

• m = slope
• b = y-intercept (when x = 0)

-4x - 4y = 16 <== add 4x to both sides

+4x +4x

-4y = 4x + 16 <== divide both sides by -4

/-4 /-4

y = -x - 4

The slope of the line that is parallel to this line is -1 (invisible 1 in front of x).

For the perpendicular line:

*Perpendicular lines have negative reciprocals*

Steps:

1. Take your original slope (-1)

2. Flip it (-1/1)

3. Change the sign (1)

For a slope of -1, the reciprocal would be: 1

Hope this helps!