To find the midpoint of a line 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 \((x_1, y_1) = (-8, 9)\) and \((x_2, y_2) = (-2, 3)\).
Now, plug these values into the formula:
-
For the x-coordinate: \[ \frac{-8 + (-2)}{2} = \frac{-8 - 2}{2} = \frac{-10}{2} = -5 \]
-
For the y-coordinate: \[ \frac{9 + 3}{2} = \frac{12}{2} = 6 \]
Thus, the midpoint of the segment is:
\[ \boxed{(-5, 6)} \]