The first step to solve this problem is to rewrite the equation in slope intercept form, to do it, solve the given equation for y:
[tex]\begin{gathered} 5x-5y=15 \\ -5y=-5x+15 \\ y=x-3 \end{gathered}[/tex]According to this, the slope of the line is 1.
The y intercept is (0,-3).
The line graphed should look like this: