Slope intercept form is y=mx+b. So let's use the given equation and turn it into this form.
[tex]3x-5y=-30[/tex]
Move the -3x to the right side
[tex]-5y=-3x-30[/tex]
Divide both sides by -5
[tex]y=\dfrac{3}{5}x+6[/tex]
This should be your answer, let me know if you need any clarifications, thanks!
