What is the slope of a line that is perpendicular to a line whose equation is - 2y=3x+7?

The slope of an equation perpendicular to this one would be 2/3.

Step-by-step 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.