Midpoint Formula Calculator

About Midpoint Formula Calculator

The midpoint is the average of the coordinates. It divides the line segment into two equal parts.

How to use this calculator

1. Enter the coordinates of the two points.
2. Add the two x-values and divide by 2.
3. Add the two y-values and divide by 2.
4. Read the ordered pair as the midpoint.

The formula explained

• \(x_1\) = the x-coordinate of the first point
• \(y_1\) = the y-coordinate of the first point
• \(x_2\) = the x-coordinate of the second point
• \(y_2\) = the y-coordinate of the second point

Step by step method

1. Take the x-coordinates from both points and find their average.
2. Take the y-coordinates from both points and find their average.
3. Pair those two averages to get the midpoint coordinates.

Worked example

For example, find the midpoint of the points (2, 6) and (8, 10).

1. Average the x-values: \((2 + 8) / 2 = 10 / 2 = 5\).
2. Average the y-values: \((6 + 10) / 2 = 16 / 2 = 8\).

Tips and common mistakes

• Make sure you average x with x and y with y, not mix them.
• Write the result as an ordered pair in the same coordinate format.
• If one coordinate is negative, keep the sign when adding.
• The midpoint is the center point of the segment, so it should be halfway between the two points.

Frequently asked questions