+2195 3x doesn't contian the viarable to solve for. You are going to move it to the right side of the equation by subtracting 3x from both side.
It should look like this: 4y = -3x + 6
Then, mulriply each term by 1/4 and simplify.
Now looks like: 4y/4 = -3x/4 + 6/4
You will cancel your common factors.
You will have: y = -3/4 + 6/4
Reduce by cancelling the common factors.
Factor 2 out of 4
looks like: y = -3x/4 + 2•3/2•2
Cancel your common factors.
Now you have: y = -3x/4 + 3/2
Use your slope intercept y=mx+b
m = -3/4 and b = 3/2
Your slope is -3/4
Your Y-intercept is 3/2
