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. .
