Automatically, we can eliminate Line C, because the slope is negative, since the question's asking which one is the greatest slope. However, if you do want to find the slope of Line C, you can use the rise/run method or the slope formula. Using the coordinate sets (0, 0) and (1, -2) and applying y2-y1/x2-x1 = -2-0/1-0 = -2/1 = -2.
Line A's slope is 1/2. You can either find this out by applying the rise/run formula (rise = 1, run = 2) or you can find 2 coordinate sets to solve for slope. In this case, I'll use (0, 0) and (2, 1). Using the formula y2-y1/x2-x1... 1-0/2-0 = 1/2.
Line B's slope is 2. As stated in Line A, you can find this by applying the rise/run formula or using 2 coordinate sets. I'll use the points (0, 0) and (1, 2). Using the formula y2-y1/x2-x1... 2-0/1-0 = 2/1 = 2.
Since the question is asking which line has the greatest slope, the line that has the greatest slope would be Line B. (2 > 1/2 > -2)
