So first we can determine the y-intercept (where the line crosses the y axis) in this case that is positive 1 so we know we are adding. If we start from the y-intercept and go up 2 and to the right 3 we get to the second point. The reason it's not 3/2 is because the mathematical way to show this is rise over run (up 2, right 3)
Looking at the graph, you can see that the y-intercept is 1, so you can eliminate choices A and D. You are now left between choices B and C. To figure out the slope, you need to do rise and run. From the y-intercept, you rise up 2, and you run right 3. This means that the slope is 2/3.
