Final answer:
The midpoint M of the line segment with endpoints V(0,4) and W(2,8) has the coordinates (1,6).
Step-by-step explanation:
The coordinates of the midpoint M of a segment with endpoints V(0,4) and W(2,8) can be found by using the midpoint formula which is (x1 + x2)/2, (y1 + y2)/2. For V(0,4) and W(2,8), we calculate the midpoint coordinates by averaging the x-coordinates and the y-coordinates separately.
Thus, the x-coordinate of M is (0 + 2)/2 = 1, and the y-coordinate of M is (4 + 8)/2 = 6. Therefore, the midpoint M has the coordinates (1,6).