The grid below shows the location of a high school and a library. A community center is at the midpoint between the school and the library.

Answer:
(4,4)
Explanation:
The coordinates of the midpoint of a segment that starts in (x1, y1) and ends in (x2, y2) can be calculated as:
[tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]Then, the coordinates of the community center can be calculated by replacing (x1, y1) by (2, 6) and (x2, y2) by (6, 2). So, the answer is:
[tex](\frac{2+6}{2},\frac{6+2}{2})=(\frac{8}{2},\frac{8}{2})=(4,4)[/tex]Therefore, the coordinates of the community center are (4, 4)