The slope intercept form is y = mx + b.
The first thing we have to do here is move the term with the x variable over to the right side of the equation.
-2x + 5y = -15 And we do that by adding 2x to both sides of the equation.
5y = 2x - 15
We then have to get y alone. So we divide 5 on both sides.
The answer is y = 2/5x - 3