Question

Determind whether each pair of lines is parallel, perpendicular, or neither.

I solved the problem and would like someone to double check my work to make sure I'm correct.

Q: 6+4x=3y
3x+4y=8

A: 6=3y-4x <-- subtract -6 by both sides
3y=-4x-6
3y/3=-4x/3=6/3 <---- divide 3 by both sides
y=-2x/1-3
slope m=-2/1

3x+4y=8
-3x -3x <-- subtract both sides by 3
4y/4=-3x/4+8/4 <--- reduce
y=-1x/2+2
slope m= -1/2

so the lines are perpendicular?