Final answer:
The coordinates of the midpoint of the segment EF are (-1/2, 3/2).
Step-by-step explanation:
To find the coordinates of the midpoint of the segment EF, we need to find the average of the x-coordinates and the average of the y-coordinates of the points E(6,-4) and F(-7,7).
The x-coordinate of the midpoint is (6 + (-7))/2 = -1/2, and the y-coordinate of the midpoint is (-4 + 7)/2 = 3/2.
Therefore, the coordinates of the midpoint of the segment EF are (-1/2, 3/2).