# Midpoints

- Author:
- t.rumsey4003

## Midpoints

A midpoint is exactly what it sounds like: a midpoint or a central point on a line. The basic midpoint formula is: (x

_{2}+x_{1})/2, (y_{2}+y_{1})/2. You can also be given an endpoint and the MIDPOINT, not the other endpoint. If this happens, you take similar steps. You take x value of the endpoint that you do know and add "x". Then, you divide by 2 and set it all equal to the x value of the midpoint. Next, you go on to do the same thing for the y coordinate, but you switch the y values according to the endpoint and midpoint.## Try it yourself: Find the Midpoint!

So first, find the x coordinates of the two endpoints, in this case, 2 and -1. Take x

_{2}and add the x_{1}(2+(-1)). Then, divide this by two, and for the x value of the midpoint, you get 0.5! Next, do the same thing for the y coordinates: y_{2}+y_{1}(5+2). Once again, divide this by two, and the y value of the midpoint is 3.5! Finally, put them together, and the midpoint equals (0.5,3.5).