Answer:
-2/3
Explanation:
We need to put in slope intercept form..
Once we identify the slope of the line given, we can find the slope of the perpendicular line which is the opposite reciprocal of the slope for the given equation:
Let's do this:
2y-3x=86
add 3x on both sides to get 2y by itself
2y=3x+86
divide both sides by 2
y=3/2 x+43
So the slope is 3/2
The opposite reciprocal of 3/2 is -2/3 .
The answer is -2/3