Answer
None of these
Work Step by Step
Slope intercept form y=mx+c
Rewrite each equation:
2x+3y = 6
y= $\frac{-2}{3}$x + 2
2x-3y=12
y=$\frac{2}{3}$x -4
Both the equations have different slopes that are not negative reciprocals of each therefore two slopes are not parallel, not perpendicular, and same.