First of all, let's get y on one side and x on the other.
So, start by adding 2y to both sides. Now you have 3x=2y+6.
Now, subtract 6 from both sides. You now have 3x-6=2y.
Then, divide by 2 on both sides. You now have 1.5x-3=y
The slope in y=mx+b is the number in spot m. The number in spot m is 1.5, so the slope is 1.5 .