Answer :
Rewrite each equation in slope intercept form.
3y=4x-14
Divide all terms by 3
Y = 4/3x - 14/3
4y= -3x + 48
Divide all terms by 4:
Y= -3/4x + 12
The second slope (- 3/4) is the negative inverse of the first slope (4/3) so the lines are perpendicular.