Thae equation is given as :
5x - 3y = -9
The equation can be written in slope intercept form as;
y= mx + c where m is the gradient and c is the y-intercept
So this will be;
5x = 3y -9
5x + 9 = 3y
5/3 x + 9/3 = 3y/3
5/3 x + 3 = y
y= 5/3 x + 3
Answer
y = 5/3 x + 3