Answer :

 isolate the y, subtract 5x from both sides, divide both sides by -2 thus making the answer y=5/2x-3/2
Slope-Intercept Form is: y = mx + b

5x + 2y = 3 is currently set in Standard Form.

5x + 2y = 3           :First, subtract the 5x over to the other side

2y = -5x + 3          :Then, divide the whole equation by 2

y = -5/2 + 3/2