To find the midpoint of a segment with endpoints \((x_1, y_1)\) and \((x_2, y_2)\), you can use the midpoint formula:
\[ \text{Midpoint} = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right) \]
Here, the endpoints are \((-9, -10)\) and \((-3, -4)\). Thus, we can identify:
- \(x_1 = -9\)
- \(y_1 = -10\)
- \(x_2 = -3\)
- \(y_2 = -4\)
Now, we can substitute these values into the midpoint formula.
-
Calculate the x-coordinate of the midpoint: \[ \frac{x_1 + x_2}{2} = \frac{-9 + (-3)}{2} = \frac{-9 - 3}{2} = \frac{-12}{2} = -6 \]
-
Calculate the y-coordinate of the midpoint: \[ \frac{y_1 + y_2}{2} = \frac{-10 + (-4)}{2} = \frac{-10 - 4}{2} = \frac{-14}{2} = -7 \]
Combining both coordinates, the midpoint is: \[ \text{Midpoint} = (-6, -7) \]
Thus, the midpoint of the segment with endpoints \((-9, -10)\) and \((-3, -4)\) is \(\boxed{(-6, -7)}\).