Write each equation in slope intercept form 5x+3y=30

Slope intercept form is: y = mx + b.

In order to get x to the other side, you subtract it on both sides.

3y = - 5x + 30

But in slope intercept form, y can’t have any number in front of it. To get rid of the number, divide both sides by 3

y = - 5x/3 + 6

Get rid of x first - 5x then divide the rest