9514 1404 393
Answer:
-2/3
Explanation:
The slope of the given line can be found by solving for y.
2y -3x = 8
2y = 3x +8 . . . . add 3x
y = 3/2x +4 . . . . divide by 2
The slope is the coefficient of x: 3/2. For the perpendicular line, the slope is the opposite reciprocal of this:
-1/(3/2) = -2/3
The slope of a perpendicular line is -2/3.