How do you find the midpoint of the line segment joining A(8, 11) and B(–5, 2)?

Aug 22, 2016

Midpoint of the line segment joining $A \left(8 , 11\right)$ and $B \left(- 5 , 2\right)$ is $\left(\frac{3}{2} , \frac{13}{2}\right)$.

Explanation:

Midpoint of the line segment joining $\left({x}_{1} , {y}_{1}\right)$ and $\left({x}_{2} , {y}_{2}\right)$ is given by $\left(\frac{{x}_{1} + {x}_{2}}{2} , \frac{{y}_{1} + {y}_{2}}{2}\right)$.

Hence, midpoint of the line segment joining $A \left(8 , 11\right)$ and $B \left(- 5 , 2\right)$ is

$\left(\frac{8 + \left(- 5\right)}{2} , \frac{11 + 2}{2}\right)$ or

$\left(\frac{3}{2} , \frac{13}{2}\right)$