Find the slope of the line that is parallel and perpendicular to the following equation.
-4x - 4y = 16
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Easter12 7 months ago
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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

  • 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!

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

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