Answer:
[tex]\frac{-2}{3}[/tex]
Step-by-step explanation:
2y - 3x = 8
2y = 3x + 8
y = [tex]\frac{3}{2}[/tex] x +4
It is similar to y = mx + b
Therefore m = [tex]\frac{3}{2}[/tex]
To check whether a line has perpendicular slope we check the product of the slopes to be -1.
The perpendicular slope is [tex]\frac{-2}{3}[/tex]