To find the midpoint of a segment with endpoints \((x_1, y_1)\) and \((x_2, y_2)\), you can use the midpoint formula:
\[ \text{Midpoint} = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right) \]
In this case, the endpoints are \((-2, 7)\) and \((6, 3)\). So, we have:
- \(x_1 = -2\)
- \(y_1 = 7\)
- \(x_2 = 6\)
- \(y_2 = 3\)
Now, applying the midpoint formula:
\[ \text{Midpoint} = \left( \frac{-2 + 6}{2}, \frac{7 + 3}{2} \right) \]
Calculating the x-coordinate:
\[ \frac{-2 + 6}{2} = \frac{4}{2} = 2 \]
Calculating the y-coordinate:
\[ \frac{7 + 3}{2} = \frac{10}{2} = 5 \]
Thus, the midpoint of the segment is:
\[ \boxed{(2, 5)} \]