# How would you set up the midpoint formula if only the midpoint and one coordinate is given? For example, if the midpoint is (2, 5) and the first coordinate is (2, 3)?

Nov 19, 2015

Just remember that the x and y distances from any endpoint to the midpoint, must be the same distance from the midpoint to the second endpoint.

#### Explanation:

The x-distance from the endpoint to the midpoint $= 2 - 2 = 0$
The y-distance from the endpoint to the midpoint $= 5 - 3 = 2$

Next, add these same distances to the midpoint coordinate to find the other endpoint:

Second endpoint $= \left(2 + 0 , 5 + 2\right) = \left(2 , 7\right)$

hope that helped