Midpoint Calculator - Find the Midpoint Between Two Points

What is a Midpoint?

As the name suggests, a midpoint is a point that lies exactly halfway between two other points. For example, imagine a line segment that you want to divide into two equal parts. To do this, you must locate the center of this line segment, which is done by finding the midpoint. This midpoint is equidistant from both endpoint coordinates.

To find the midpoint, you can use a ruler on a drawn diagram, or — more precisely — use the midpoint formula that involves the coordinates of each endpoint.

Midpoint Formula

To calculate the midpoint between two coordinates, namely (x₁, y₁) and (x₂, y₂), we use the midpoint formula. The midpoint coordinates M = (x, y) are found by taking the average of the x-coordinates and the average of the y-coordinates:

How to Find the Midpoint — Step by Step

1. Identify the coordinates of the two endpoints: Point A = (x₁, y₁) and Point B = (x₂, y₂).
2. Apply the midpoint formula:
   • Add the x-coordinates and divide by 2: M_x = (x₁ + x₂) / 2
   • Add the y-coordinates and divide by 2: M_y = (y₁ + y₂) / 2
3. Write the result as a coordinate pair: M = (M_x, M_y).

Example

Find the midpoint between A = (2, 4) and B = (6, 10).

How to Use This Midpoint Calculator

1. Select the unit system — choose Metric (m, km, cm, mm) or Imperial (ft, in, mi, yd), or leave it as None for pure dimensionless coordinates.
2. Enter the coordinates of Point 1: x₁ and y₁.
3. Enter the coordinates of Point 2: x₂ and y₂.
4. Click Calculate — the midpoint and the distance between the points will be displayed instantly.

You can also share your result via the Share button, print it, or save it to your calculation history.

Distance Between Two Points

In addition to the midpoint, the calculator also shows the distance between the two points, calculated using the Euclidean distance formula:

Unit Systems Supported

The calculator supports coordinates in both Metric and US/Imperial units:

Other Related Topics

• Slope Calculator — find the slope (gradient) of the line passing through your two points.
• Distance Calculator — calculate the Euclidean or other distance between points.
• Average Rate of Change Calculator — understand how one coordinate changes relative to another.
• Coordinate Geometry — the mathematical framework for working with points and lines in a plane.

FAQs

What is the midpoint of a line segment?

The midpoint of a line segment is the point exactly halfway between its two endpoints. It divides the segment into two equal halves.

Can coordinates be negative?

Yes. The midpoint formula works with any real number coordinates — positive, negative, or zero. For example, the midpoint between (−3, 5) and (7, −1) is (2, 2).

Does the unit of measurement matter?

The formula itself is unit-agnostic — it works the same whether your coordinates are in meters, feet, or any other unit. The unit selection in this calculator simply labels the output for clarity.

What if both points are the same?

If both points are identical, the midpoint is the same point, and the distance is 0. This is a valid result — it simply means there is no segment to bisect.

Is the midpoint the same as the centroid?

For a line segment, yes — the midpoint is the centroid (geometric center) of the two endpoints. For polygons with more than two vertices, the centroid is calculated differently.