1) isolate y
4x + 5y = 60
-4x -4x
_____________
5y = -4x + 60
2) make y so that is is alone with no numbers beside it
5y = -4x + 60
__________
5
y = -4/5x + 60
3) the slope is ALWAYS the number to the left of x, even if it's a fraction. It's it a decimal, convert to a fraction. The last number (in this case is 60) is where the slope crosses the y-axis on the coordinate plane.
The slope is -4/5x + 60