The equation of a line in the slope intercept form is expressed as
y = mx + c
where
m represents slope
c represents y intercept
The given equation is
5x + 3y = 15
We wouls solve for y. It becomes
3y = - 5x + 15
Dividing both sides by 3, it becomes
3y/3 = - 5x/3 + 15/3
y = - 5x/3 + 5