Hi,
Slope-intercept form is y=mx+b. So, you need to solve the equation for y, meaning to get y alone on one side.
I order to do that for the equation 5x + 10y = 30, first you need to subtract 5x from both sides.
10y = 30 - 5x
Next, you need to divide both sides by 10.
y = 3 - (5/10)x
y = 3 - (1/2)x
If necessary, you can rearrange the equation to look like y = -(1/2)x + 3
I hope that made it easier to understand!