Question 282935
–2x + 3y = 6
slope =-a/b where here a=-2 and b=3
-(-2)/3=2/3

 and 2y + 3x = 4
we need to rearrange
3x+2y=4
-a/b
-3/2
--3/2*2/3=-1 there fore they are perpendicular and intersecting Since perpendicular lines must cross at some point

Just for fun (not needed) let's find the intersection.
–2x + 3y = 6
3x + 2y = 4
multiply first by 3 and second by 2.
-6x+9y=18
6x+4y=8
add them
13y=26
y=2
plug 2 for y in any of the equations.
2y + 3x = 4
2*2+3x=4
3x=0
x=0
(0,2) is the intersection of the two equations.