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Midpoint of two points with the midpoint formula, or the missing endpoint from a midpoint
Midpoint formula: M = ((x₁ + x₂) ÷ 2, (y₁ + y₂) ÷ 2). The midpoint of (2, 3) and (8, 11) is (5, 7). To find a missing endpoint, use x₂ = 2xₘ − x₁ and y₂ = 2yₘ − y₁. The calculator shows every step and also works with 3D points.
The midpoint of (x₁, y₁) and (x₂, y₂) is ((x₁ + x₂) ÷ 2, (y₁ + y₂) ÷ 2): average the x-coordinates and average the y-coordinates. The midpoint of (2, 3) and (8, 11) is (5, 7). To find a missing endpoint, double the midpoint and subtract the known endpoint: the endpoint (1, 2) and the midpoint (4, 5) give the other endpoint (7, 8).
M = ((x₁ + x₂) ÷ 2, (y₁ + y₂) ÷ 2). Add the x-coordinates and divide by 2, then do the same with the y-coordinates.
Average their coordinates. For (2, 3) and (8, 11) that is ((2 + 8) ÷ 2, (3 + 11) ÷ 2) = (5, 7).
Use x₂ = 2xₘ − x₁ and y₂ = 2yₘ − y₁. With the endpoint (1, 2) and the midpoint (4, 5), the other endpoint is (7, 8).
Yes. If the sum of two coordinates is odd, the midpoint coordinate ends in .5. The midpoint of (1, 2) and (4, 7) is (2.5, 4.5).
It is the point on the segment exactly halfway between the two endpoints, so its distance to each endpoint is half the length of the segment.
The midpoint of a line segment with the endpoints (x₁, y₁) and (x₂, y₂) is M = ((x₁ + x₂) ÷ 2, (y₁ + y₂) ÷ 2). In words: average the two x-coordinates and average the two y-coordinates. The midpoint lies on the segment at the same distance from both endpoints.
For (2, 3) and (8, 11): (2 + 8) ÷ 2 = 5 and (3 + 11) ÷ 2 = 7, so the midpoint is (5, 7). Negative coordinates work the same way: the midpoint of (−4, 6) and (2, −2) is (−1, 2).
If you know one endpoint and the midpoint, reverse the formula: x₂ = 2xₘ − x₁ and y₂ = 2yₘ − y₁. With the endpoint (1, 2) and the midpoint (4, 5), the other endpoint is (2 × 4 − 1, 2 × 5 − 2) = (7, 8). Use the Find the other endpoint tab for this.
For points in space, also average the z-coordinates: M = ((x₁ + x₂) ÷ 2, (y₁ + y₂) ÷ 2, (z₁ + z₂) ÷ 2). Tick 3D points to enter them.
The calculator also shows the length of the segment; the distance formula calculator explains that step by step.