What is the slope of a line perpendicular to the graph of the equation 5x-3y=2?

The 2 does not matter in this case because it does not affect the slope. We can simplify this question to get 5x-3y=0. Move the - 3y to the right to get

5x=3y.

Divide by 3 to get:

5x/3=y

Therefore, the slope is 5/3. But to find the slope of the line perpendicular to it, you multiply by - 1 and then reciprocate it. So, you get - 3/5 as your slope ...