1. **State the problem:** We are given the midpoint $M(-2,-3)$ of the line segment $\overline{AB}$ and one endpoint $A(-8,-5)$. We need to find the coordinates of the other endpoint $B(x,y)$. 2. **Formula used:** The midpoint $M$ of a segment with endpoints $A(x_1,y_1)$ and $B(x_2,y_2)$ is given by: $$M = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right)$$ 3. **Apply the formula:** Given $M(-2,-3)$ and $A(-8,-5)$, let $B = (x,y)$. Then: $$-2 = \frac{-8 + x}{2}$$ $$-3 = \frac{-5 + y}{2}$$ 4. **Solve for $x$:** Multiply both sides by 2: $$-4 = -8 + x$$ Add 8 to both sides: $$x = 4$$ 5. **Solve for $y$:** Multiply both sides by 2: $$-6 = -5 + y$$ Add 5 to both sides: $$y = -1$$ 6. **Final answer:** The coordinates of point $B$ are: $$B = (4, -1)$$