1. Problem: Find the slope of the line passing through points $K(-2,-6)$ and $L(4,-3)$. 2. Formula: The slope $m$ of a line through points $(x_1,y_1)$ and $(x_2,y_2)$ is given by $$m=\frac{y_2 - y_1}{x_2 - x_1}$$ 3. Substitute the coordinates of points $K$ and $L$: $$m=\frac{-3 - (-6)}{4 - (-2)}=\frac{-3 + 6}{4 + 2}=\frac{3}{6}$$ 4. Simplify the fraction: $$m=\frac{3}{6}=\frac{1}{2}$$ 5. Conclusion: The slope of line $KL$ is $\frac{1}{2}$. Answer choice: E) $\frac{1}{2}$