Identify the slope and the y-intercept for the line associated with the equation.

5x+20y=60
20y=-5x+60
-20=-5x+60-20

y=-5x+40
is that the right equation?

5x+20y=60

20y=-5x+60
It's correct up to this point, you have isolated the dependent variable.

Instead of subtracting 20 from each side, you would divide both sides by 20 to reduce the coefficient of the dependent variable (y) to 1, namely:

20y / 20 =(-5x+60) / 20
y = -(1/4)x + 3

The slope is -(1/4) and the intercept is 3.