Final answer:
The midpoint of the line segment with endpoints (-2, 7) and (2, 3) is calculated using the midpoint formula and results in the midpoint being at (0, 5).
Step-by-step explanation:
To find the midpoint of the line segment with endpoints (-2, 7) and (2, 3), you use the midpoint formula, which is ((x1 + x2)/2, (y1 + y2)/2). Here, x1 = -2, y1 = 7, x2 = 2, and y2 = 3. Applying these values to the formula gives us:
- The midpoint x-coordinate: (-2 + 2)/2 = 0/2 = 0
- The midpoint y-coordinate: (7 + 3)/2 = 10/2 = 5
Therefore, the midpoint of the line segment is at (0, 5).