Question

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 1

(4,4)

Step-by-step explanation:

The coordinates of the midpoint of a segment that starts in (x1, y1) and ends in (x2, y2) can be calculated as:

`((x_1+x_2)/(2),(y_1+y_2)/(2))`

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:

`((2+6)/(2),(6+2)/(2))=((8)/(2),(8)/(2))=(4,4)`

Therefore, the coordinates of the community center are (4, 4)