Question

Find the slope of the line that is parallel and perpendicular to the following equation.
-4x - 4y = -2

Answer 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

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

-4x - 4y = -2 <== add 4x to both sides

+4x         +4x

-4y = 4x - 2 <== divide both sides by -4

/-4      /-4

y = -x + 1/2

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 2

Answer:

Parallel line:

-1

Perpendicular line:

1

Step-by-step explanation:

Let's simplify first!

-4x-4y=-2

-4x=-2+4y

4y=-4x+2

y=-x+0.5

For a parallel line, the slope should be the same

Therefore...

Slope=1

For a perpendicular line, the slope should be the negative reciprocal of the original.

Therefore...

Slope=-(-$\frac{1}{1}$)

=1

Hope this helps! :D