Final answer:
The coordinates of the midpoint M of the segment with endpoints A(-7,9,4) and B(5,-3,-4) are (-1, 3, 0).
Step-by-step explanation:
To determine the coordinates of the midpoint M of the segment with endpoints A(-7,9,4) and B(5,-3,-4), we use the midpoint formula for three-dimensional coordinates, which is M = ((x1 + x2)/2, (y1 + y2)/2, (z1 + z2)/2).
To find the x-coordinate of the midpoint, we add the x-coordinates of A and B, and then divide by 2: ((-7) + 5)/2 = -1. For the y-coordinate, we do the same with the y-coordinates: ((9) + (-3))/2 = 3. Finally, for the z-coordinate, we do the same with the z-coordinates: ((4) + (-4))/2 = 0.
Therefore, the coordinates of midpoint M are (-1, 3, 0).