# How do you find the midpoint of (5, 2) and (-1, -2)?

Apr 1, 2016

$\left(2 , 0\right)$

#### Explanation:

Split up the co-ordinates into $x$'s and $y$'s, which gives you $5 , - 1$ and $2 , - 2$ respectively.

Finding the midpoint is the same as finding an average. Add up the two values and divide by the number that there are. For $x$, this leaves $\frac{5 + - 1}{2} = 2$.

Doing the same for $y$ yields $\frac{2 + - 2}{2} = 0$.

Now re-attaching the $x$ and $y$ gives you the point $\left(2 , 0\right)$.

You can also draw a graph and label the two points and through some metric trickery find the midpoint, such as measuring the length of the line, dividing it by two and finding the half-way point, but it's much quicker to work out averages, if less intuitive.