Hello!
Slope-intercept form is y = mx + b
You have to get the equation into this format
5x - 15y = -8
Subtract 5x from both sides
-15y = -5x - 8
Divide both sides by -15
y = 1/3x + 8/15
The answer is [tex]y = \frac{1}{3} x + \frac{8}{15} [/tex]
Hope this helps!