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

-4x - 4y = 16

-4x - 4y = 16

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Answer

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MisterBrainly
7 months ago

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- -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:Slope of the line that is parallel: -1

Slope of the line that is perpendicular: 1

Step-by-step explanation:For the parallel line:Rewrite your equation to slope-intercept form: y = mx + b

y = mx + b

-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!