Is the equation y=1/3x+12 and 2y-6x=8 perpendicular

Question

Is the equation y=1/3x+12 and 2y-6x=8 perpendicular

Answer 1

y=1/3x+12 The perpendicular slope to m=1/3 is m=-3 (the negative reciprocal)

Need to put this second equation in that form to see the slope.

2y-6x=8 add 6x to both sides.

2y=6x+8 Divide everything by 2

y=3x+4 The slope is 3, not -3. So this is NOT perpendicular