$b=3; m=3/2 $
Work Step by Step
We need to put the equation in the form y=mx+b: $2y-6=3x \\\\ 2y=3x+6 \\\\ y=3/2x+3$ In order to figure out what the slope is, we must figure out what x is being multiplied by. x is being multiplied by 3/2, so we know that m, the slope, is 3/2. We now must figure out what is being added to x. 3 is being added to x, so we know that b, the y intercept, is 3.