You can put this solution on YOUR website! Check out the slopes:
------------------
are these parallel, perpendicular or both?
3y+x=6 and 2y-6x=12
1st slope: m = (-1/3)
2nd slope: m = (3/1)
-----------
Since the product of the slopes is -1 the lines are perpendicular.
=================
Cheers,
Stan H.