Congratulations on starting your 24-hour free trial!

Quick Homework Help

# Midpoint Formula

Star this video

A midpoint is the halfway point between two points on a coordinate axis. To calculate the midpoint, we use the midpoint formula which is the average of the x-values and the average of the y-values. To find the average, we add the x-values and divide by two and add the y-values and divide by two. One thing we need to be careful of when calculating the midpoint is to make sure to calculate the negative coordinates accordingly.

The Midpoint Formula is a easy to use way to find the middle of two different points on a coordinate axis. So in this case, I have the point x1,y1. We don't know what the coordinates are but they, each have an x coordinate and y coordinate and the point x2,y2. The midpoint is going to be the point smacked up in the middle of those two. So somewhere in, for this particular problem, somewhere in here. Okay, it's not exact but it's going to be somewhere right in there.

How we actually end up finding it is just the average of the x values and the average of the y values. So the x values are going to be here and here our middle is just going to be right in the middle. So all we do is, average the x values, add them together, divide by 2 and do the same for the y's. Add the y's together, divide by 2. Now we're averaging something so order doesn't necessarily matter. We have 4+8, it's the same thing as 8+4 as long as we're adding them together adding the x's separately then the y's, everything should be fine. So that's how we find the midpoint of two points on the coordinate axis.

## Find Videos Using Your Textbook

Enjoy 3,000 videos just like this one.