# How do you find the midpoint of (-4,0), (0,14)?

May 17, 2017

See a 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:

$M = \left(\frac{\textcolor{red}{- 4} + \textcolor{b l u e}{0}}{2} , \frac{\textcolor{red}{0} + \textcolor{b l u e}{14}}{2}\right)$

$M = \left(- \frac{4}{2} , \frac{14}{2}\right)$

$M = \left(- 2 , 7\right)$

May 17, 2017

Difference between y values, difference between x values

#### Explanation:

Your function is starting point (-4, 0) and ending point is (0, 14)

Meaning change of x is from -4 to 0 (and half of it is -2)
Meaning change of y is from 0 to 14 (and half of it is 7)

Midpoint of your x is -2
Midpoint of your y is 7.