1. **State the problem:** Find the slope of the line segment JK where J(-1,-9) and K(5,3). 2. **Formula for slope:** The slope $m$ between two 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 points:** Here, $x_1 = -1$, $y_1 = -9$, $x_2 = 5$, $y_2 = 3$. $$m=\frac{3 - (-9)}{5 - (-1)}$$ 4. **Simplify numerator and denominator:** $$m=\frac{3 + 9}{5 + 1} = \frac{12}{6}$$ 5. **Simplify the fraction:** $$m=\frac{\cancel{12}}{\cancel{6}} = 2$$ 6. **Interpretation:** The slope of JK is 2, which corresponds to option D. **Final answer:** The slope of JK is $2$.