To find the slope of 5x-3y=12, first convert this to slope intercept form or
y=mx+b
The m value would be the slope.
To start, first subtract 5x from both sides to keep the y value on one side. This would look like this:
-3y=-5x+12
Then, divide both sides by -3 to isolate y and you get y=5/3x-4
When you look at the m value, your slope would be 5/3.