Question

Determine if parallel, perpendicular, or neither.

3y+x=12
-y=8x+1

Answer 1

neither

Explanation:

1. if to re-write the equation they will be (in standart form y=kx+b):

3y+x=12 ⇔ y=-1/3 x+12 and -y=8x+1 ⇔ y= -8x-1

2. if the lines are parallel, then k₁=k₂, but k₁=-1/3 and k₂=-8 (k₁≠k₂);

3. if the lines are perpendicular, then k₁*k₂= -1, but k₁*k₂=8/3≠ -1;

4. finally, neither.