1. **Problem:** Find the length and midpoint of the segment with endpoints (6,11) and (8,4). 2. **Formulas:** - Distance formula: $$d=\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$$ - Midpoint formula: $$M=\left(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}\right)$$ 3. **Calculate length:** $$d=\sqrt{(8-6)^2 + (4-11)^2} = \sqrt{2^2 + (-7)^2} = \sqrt{4 + 49} = \sqrt{53}$$ 4. **Calculate midpoint:** $$M=\left(\frac{6+8}{2}, \frac{11+4}{2}\right) = (7, 7.5)$$ 5. **Answer:** - Length of segment: $$\sqrt{53}$$ - Midpoint: $$(7, 7.5)$$