To find the midpoint of a line segment with endpoints $A(x_1, y_1)$ and $B(x_2, y_2)$, you can use the midpoint formula:

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

Given the points $A(-5, -4)$ and $B(-3, 3)$, substitute the coordinates into the formula:

$M = \left( \frac{-5 + (-3)}{2}, \frac{-4 + 3}{2} \right)$

Simplifying the calculations:

$M = \left( \frac{-8}{2}, \frac{-1}{2} \right)$

$M = (-4, -0.5)$

So, the midpoint of $\overline{AB}$ is $(-4, -0.5)$.

Would you like more details or have any questions?

Here are some related questions you could explore:

1. How do you find the distance between two points?
2. What is the slope of the line passing through $A(-5, -4)$ and $B(-3, 3)$?
3. How do you determine if two segments are congruent on a coordinate plane?
4. What is the equation of the line passing through points $A(-5, -4)$ and $B(-3, 3)$?
5. How do you find the perpendicular bisector of a line segment?

Tip: When finding the midpoint, you are averaging the x-coordinates and y-coordinates of the endpoints.