1. **State the problem:** Find the length of the line segment WX with endpoints W(-5,-1) and X(2,6). 2. **Formula used:** The distance between two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by the distance formula: $$d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$$ 3. **Apply the formula:** Substitute $x_1 = -5$, $y_1 = -1$, $x_2 = 2$, and $y_2 = 6$: $$d = \sqrt{(2 - (-5))^2 + (6 - (-1))^2}$$ 4. **Simplify inside the parentheses:** $$d = \sqrt{(2 + 5)^2 + (6 + 1)^2}$$ $$d = \sqrt{7^2 + 7^2}$$ 5. **Calculate squares:** $$d = \sqrt{49 + 49}$$ 6. **Add the values:** $$d = \sqrt{98}$$ 7. **Simplify the square root:** $$d = \sqrt{49 \times 2} = \sqrt{49} \times \sqrt{2} = 7\sqrt{2}$$ **Final answer:** The length of WX is $7\sqrt{2}$ units.