1. **State the problem:** Find the midpoint of the line segment with endpoints $(-6,9)$ and $(2,5)$. 2. **Formula:** The midpoint $M$ of a segment with endpoints $(x_1,y_1)$ and $(x_2,y_2)$ is given by $$M=\left(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\right)$$ 3. **Apply the formula:** Calculate the $x$-coordinate of the midpoint: $$\frac{-6+2}{2} = \frac{-4}{2} = -2$$ Calculate the $y$-coordinate of the midpoint: $$\frac{9+5}{2} = \frac{14}{2} = 7$$ 4. **Result:** The midpoint is $(-2,7)$. 5. **Answer choice:** This corresponds to option B. Final answer: **B. (-2, 7)**