# How do you find the midpoint of A(5,4), B(-3,2)?

Mar 20, 2016

Mid point is $\left(1 , 3\right)$

#### Explanation:

Given -

$A \left(5 , 4\right) : B \left(- 3 , 2\right)$

${x}_{1} = 5$
${y}_{1} = 4$
${x}_{2} = - 3$
${Y}_{2} = 2$

Mid Point is given by $\left(x , y\right) = \frac{{x}_{1} + {x}_{2}}{2} , \frac{{y}_{1} + {y}_{2}}{2}$

$\left(x , y\right) = \frac{5 + \left(- 3\right)}{2} , \frac{4 + 2}{2}$
$\left(x , y\right) = \frac{5 - 3}{2} , \frac{4 + 2}{2}$
$\left(x , y\right) = \left(\frac{2}{2} , \frac{6}{2}\right)$
$x , y = \left(1 , 3\right)$