Using the graph below, how would adding 5 and -2, then dividing by 2 help you find the midpoint of the line segment AB?

To find the midpoint of the line segment AB with coordinates A(-2, 2) and B(6, 5), you need to calculate the average of the x-coordinates and the y-coordinates of the points A and B.

The x-coordinate of the midpoint is calculated as follows:

\[
\text{x-coordinate of midpoint} = \frac{x_1 + x_2}{2} = \frac{-2 + 6}{2} = \frac{4}{2} = 2
\]

The y-coordinate of the midpoint is calculated as follows:

\[
\text{y-coordinate of midpoint} = \frac{y_1 + y_2}{2} = \frac{2 + 5}{2} = \frac{7}{2} = 3.5
\]

So, the midpoint M of line segment AB has coordinates M(2, 3.5).

Now, when you add 5 and -2, you are actually performing the operation related to finding the midpoint of the y-coordinates (the y-values are 2 and 5). Specifically, adding 2 (the y-value of A) and 5 (the y-value of B) and then dividing by 2 gives you the average y-coordinate, which is the y-coordinate of the midpoint.

Thus, in the context of your options, adding -2 and 5 correctly corresponds to finding the y-coordinate of the midpoint, so:

**A. It finds the y-value that is the average between the two y-values of points** is the correct answer for the operation related to the y-coordinates.

However, the full process of finding the midpoint involves both the x and y coordinates, and the overall result gives you the midpoint of points A and B. Therefore, the option that summarizes the result of finding the midpoint would be:

**D. It finds the sole midpoint of points A and B.**

So, if focusing on the specific operation mentioned (adding 5 and -2), option A is correct. But considering the entire context of finding the midpoint, option D is also valid.