How do you find the midpoint of the line segment joining (3,5) and (-2,-4)?

Jul 27, 2016

Midpoint: color(green)(""(1/2,1/2))

Explanation:

The midpoint of a pair of coordinates$\left({x}_{A} , {y}_{A}\right)$and $\left({x}_{B} , {y}_{B}\right)$ is
$\textcolor{w h i t e}{\text{XXX")("midpoint of "x " range"," midpoint of " y " range}} = \left(\frac{{x}_{A} + {x}_{B}}{2} , \frac{{y}_{A} + {y}_{B}}{2}\right)$

The midpoint of a range is simply the average of the range's two end values.

Therefore the midpoint of $\left(3 , 5\right) : \left(- 2 , - 4\right)$ is
$\textcolor{w h i t e}{\text{XXX}} \left(\frac{3 + \left(- 2\right)}{2} , \frac{5 + \left(- 4\right)}{2}\right) = \left(\frac{1}{2} , \frac{1}{2}\right)$