To find the midpoint of a line segment with endpoints \((x_1, y_1)\) and \((x_2, y_2)\), we use the midpoint formula:
\[ \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right) \]
Given the endpoints \((-2, 3)\) and \((8, -2)\):
- \(x_1 = -2\)
- \(y_1 = 3\)
- \(x_2 = 8\)
- \(y_2 = -2\)
Now, we substitute these values into the formula:
\[ \text{Midpoint} = \left( \frac{-2 + 8}{2}, \frac{3 + (-2)}{2} \right) \]
Calculating the x-coordinate:
\[ \frac{-2 + 8}{2} = \frac{6}{2} = 3 \]
Calculating the y-coordinate:
\[ \frac{3 + (-2)}{2} = \frac{1}{2} = 0.5 \]
Thus, the midpoint of the segment is
\[ \boxed{(3, 0.5)} \]