How do you find the midpoint of U (-6,-3) V (12,-7)?

Mar 26, 2017

See the entire solution process below:

Explanation:

The formula to find the mid-point of a line segment give the two end points is:

$M = \left(\frac{\textcolor{red}{{x}_{1}} + \textcolor{b l u e}{{x}_{2}}}{2} , \frac{\textcolor{red}{{y}_{1}} + \textcolor{b l u e}{{y}_{2}}}{2}\right)$

Where $M$ is the midpoint and the given points are:

$\left(\textcolor{red}{\left({x}_{1} , {y}_{1}\right)}\right)$ and $\left(\textcolor{b l u e}{\left({x}_{2} , {y}_{2}\right)}\right)$

Substituting the values from the points in the problem gives:

$M = \left(\frac{\textcolor{red}{- 6} + \textcolor{b l u e}{12}}{2} , \frac{\textcolor{red}{- 3} + \textcolor{b l u e}{- 7}}{2}\right)$

$M = \left(\frac{6}{2} , - \frac{10}{2}\right)$

$M = \left(3 , - 5\right)$