The question asks to find the midpoint of the segment with endpoints $(-1, -6)$ and $(3, 2)$.

The formula for the midpoint $M$ between two points $(x_1, y_1)$ and $(x_2, y_2)$ is:

$M = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right)$

Applying the formula:

• $x_1 = -1$, $y_1 = -6$
• $x_2 = 3$, $y_2 = 2$

Now, calculate:

$x_{\text{mid}} = \frac{-1 + 3}{2} = \frac{2}{2} = 1$ $y_{\text{mid}} = \frac{-6 + 2}{2} = \frac{-4}{2} = -2$

Thus, the midpoint is:

$M = (1, -2)$

The answer is $(1, -2)$.

Would you like more details or have any questions?

Here are some related questions:

1. What is the formula for finding the distance between two points?
2. How does the midpoint formula change in 3D space?
3. Can the midpoint formula be used for geometric shapes other than segments?
4. What is the importance of midpoints in geometry?
5. How would you graph the midpoint between two points?

Tip: When solving midpoint problems, always double-check your arithmetic to avoid mistakes!