Final answer:
The midpoint M of the line segment with endpoints V(6, 9) and W(8, -6) is calculated using the midpoint formula and has coordinates (7, 1.5).
Step-by-step explanation:
The coordinates of the midpoint M of a line segment with endpoints V(6, 9) and W(8, -6) can be calculated using the midpoint formula. To find the midpoint, we take the average of the x-coordinates and the average of the y-coordinates of the endpoints. Therefore, the x-coordinate of the midpoint M is (6 + 8) / 2 and the y-coordinate is (9 + (-6)) / 2.
The midpoint M has the coordinates:
- x-coordinate: (6 + 8) / 2 = 7
- y-coordinate: (9 - 6) / 2 = 1.5
Thus, the midpoint M of the line segment is (7, 1.5).