How do you write this equation slope-intercept form 5x 3y- 9?

How do you write this equation slope-intercept form 5x 3y- 9?
IF 5x+3y=-9 you would subtract 5x on both sides so you would then have 3y=-5x-9 then you would divide by 3 on both sides so your answer would be y=-5/3x-3