# Midpoint Calculator

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## What is a Midpoint?

A midpoint is a point that lies exactly in the middle of two points defined in the coordinate system. It has coordinates that are the average of the given x-coordinates and y-coordinates. Midpoints are important in various fields, including geometry, navigation and computer graphics, as they help divide lines, shapes or routes into two equal parts.

### Midpoint Formula

The midpoint formula is a standard mathematical equation used to find the midpoint between two points on a plane. The formula is given as follows:

_{1}+ x

_{2}

2

_{1}+ y

_{2}

2

where M represents the midpoint, x_{1} and x_{2} are the x-coordinates, and y_{1} and y_{2} are the y-coordinates of the two points.

### How does the midpoint calculator work?

The midpoint calculator makes it easy to find the midpoint between two points. Simply enter the x and y coordinates of the points and the calculator will use the midpoint formula to calculate the exact midpoint. The best feature is that the solution is explained step by step in 4 steps.

#### How to Calculate the Midpoint?

To calculate the midpoint manually using the formula mentioned above, follow these steps:

Identify the coordinates of your two points. Let's call them;

Point A (x_{1}, y_{1}), Point B (x_{2}, y_{2})- Put the coordinates into the midpoint formula. Add the x-coordinates of points A and B, divide by 2. Do the same for the y-coordinates.
- The resulting coordinates, (x
_{1}+ x_{2}) / 2 and (y_{1}+ y_{2}) / 2, will give you the midpoint M.

Using the midpoint calculator makes all these steps easier for you. Simply enter the coordinates of the two points and the tool will provide you with the midpoint, saving you from manual calculations and possible errors. You will also learn how to calculate it manually by explaining the calculation one by one.