Answer:
The slope of an equation perpendicular to this one would be 2/3.
Explanation:
In order to find this, we need to first find the slope of this line. We do this by solving for y.
-2y = 3x + 7
y = -3/2x - 7/2
Now we know the slope is -3/2. In order to find the perpendicular slope, we first flip the equation. So -3/2 becomes -2/3. Then we change the sign. So -2/3 becomes 2/3. This will be the new slope.