Answer: y = 1/2 + 3/4x
To change the equation to slope intercept form, you have to isolate the y on one side and put the slope and x on the other side. 
4y - 3x = 2
 *Add 3x to both sides
4y = 2 + 3x
 *Divide both sides by 4
y = 2/4 + 3/4x
 *Simplify the equation
y = 1/2 + 3/4x
I hope you got a good grade on your assignment!!! ^w^