Ithink its b.

mostly because there is no y-intercept, am i correct? ?

The answer is C. You can determine the slope by using two points given and doing y2-y1 divided by x2-x1 (2 and 1 representing which coordinates). Even in B there is a y-intercept, it would be at the origin. Since you know the slope and at least one of the points on the graph, you can determine what the yintercept is by plugging in the numbers from a coordinate into the x and y spots in the equation and then put a variable in for the y intercept. In this case, you know y=3/2x+_. if you know that one point on the graph is (2,2), you can plug in 2 for x and 2 for y in the equation (so now it is 2=3/2(2)+b) and then you can solve for b to get the y intercept. When you solve this out, you get b=-1. this means that the final equation is y=3/2x-1. So the answer is C