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Midpoint Calculator

Free online tool that helps you find the midpoint of a line segment in a two-dimensional coordinate system based on the coordinates of the two endpoints of the line segment.

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Midpoint (xₘ, yₘ)
(0, 0)

How to calculate midpoint?

To calculate the midpoint of a line segment in a two-dimensional coordinate system, you need to use the coordinates of the two endpoints of the line segment.

The formula for finding the midpoint of a line segment with endpoints (x1, y1) and (x2, y2) is:

((x1 + x2) / 2, (y1 + y2) / 2)

To apply this formula, follow these steps:

  1. Identify the coordinates of the two endpoints of the line segment.
  2. Add the x-coordinates of the two endpoints and divide the result by 2 to find the x-coordinate of the midpoint.
  3. Add the y-coordinates of the two endpoints and divide the result by 2 to find the y-coordinate of the midpoint.
  4. Combine the x-coordinate and y-coordinate of the midpoint to obtain the midpoint as an ordered pair.

For example, let's say you have a line segment with endpoints (3, 5) and (9, 11). To find the midpoint, follow these steps:

  1. Coordinates of the endpoints are (3, 5) and (9, 11).
  2. (3 + 9) / 2 = 6
  3. So the x-coordinate of the midpoint is 6.
  4. (5 + 11) / 2 = 8
  5. So the y-coordinate of the midpoint is 8.
  6. Therefore, the midpoint of the line segment is (6, 8).