Final answer:
The coordinates of the midpoint of segment VW are (x/2, (y-3)/2).
Step-by-step explanation:
To find the coordinates of the midpoint of segment VW, we can use the midpoint formula.
The midpoint formula states that the x-coordinate of the midpoint is the average of the x-coordinates of the endpoints, and the y-coordinate of the midpoint is the average of the y-coordinates of the endpoints.
Given the endpoints V(-2, -6) and W(x+2, y+3), we can find the x-coordinate of the midpoint by taking the average of the x-coordinates: (-2 + (x+2))/2.
Similarly, we can find the y-coordinate of the midpoint: (-6 + (y+3))/2.
So the coordinates of the midpoint are (x/2, (y-3)/2).