To find the midpoint of a line segment, we use the midpoint formula:

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

Here, the endpoints are $(-1, -2)$ and $(4, 8)$. Let's substitute these values into the formula:

$M(x, y) = \left( \frac{-1 + 4}{2}, \frac{-2 + 8}{2} \right)$ $M(x, y) = \left( \frac{3}{2}, \frac{6}{2} \right)$ $M(x, y) = \left( 1.5, 3 \right)$

So, the midpoint of the segment is $(1.5, 3)$.

Would you like more details on how to apply the midpoint formula, or do you have any other questions?

Here are five related questions:

1. How do you find the length of a segment using the distance formula?
2. What is the slope of the line connecting these two points?
3. How do you find the equation of a line passing through these two points?
4. What is the difference between the midpoint and the centroid of a triangle?
5. How would you find the midpoint in 3D space?

Tip: When solving geometry problems, always make sure to label the points clearly to avoid confusion in formulas.