Line a & b are parallel
Line c is perpendicular to both lines a & b
Step-by-step explanation:
Let's solve for y in all the lines, starting with line a
-3x - 12y = 36
Add 3x to both sides
-3x - 12y = 36
+ 3x + 3x
-12y = 3x + 36
Divide both sides by -12
-12y/-12 = (3x + 36)/-12
y = -x/4 - 3
Now for line b
x + 4y = 2
- x - x
4y = -x + 2
4y/4 = (-x + 2)/4
y = -x/4 + .5
Since line a and b have the same slop, they are parallel
Notice how their slops are opposite and flipped of line c, 4x, making them perpendicular to line c.
Green = line a
Blue = line b
Purple = line c
