What is this equation in slope intercept form?

-4x + 3y = 2

1. Place y variable on one side:

3y = 2 + 4x

2. Simplify to make y variable one.

y = 2/3 + 4/3 x

3. Rearrange in the form Y = mX + c, where c is the y intercept and m is the slope.

y = 4/3 x + 2/3

Thus, slope is 4/3 and y intercept is 2/3

Since the formula you are looking for is y=mx+b that means you have to leave the y alone. Your first step is to move the - 4 to the other side which means your new equation is 3y=4x+2. Now you want to leave the y alone so what you have to do is divide everything by 3 so that would be y=4/3x+2/3.