-4x - 4y = -2
Slope of the line that is parallel: -1
Slope of the line that is perpendicular: 1
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
-4y = 4x - 2 <== divide both sides by -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*
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!
Let's simplify first!
For a parallel line, the slope should be the same
For a perpendicular line, the slope should be the negative reciprocal of the original.
Hope this helps! :D