Find the Length and Midpoint of the Line Segment

  • Find the length and midpoint of the line segment joining the points (3, 8) and (7, 2).

d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}

d=\sqrt{(7-3)^{2}+(2-8)^{2}}

d=\sqrt{(4)^{2}+(-6)^{2}}

d=\sqrt{16+36}=\sqrt{52}

midpoint: (\frac{3+7}{2},\ \frac{8+2}{2})\ \rightarrow\ (5,\ 5)