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Calculate the midpoint between two coordinate points using ((x₁+x₂)/2, (y₁+y₂)/2). Shows step-by-step working and distance between points.
The midpoint of a line segment is the point equidistant from both endpoints, calculated by averaging the x-coordinates and y-coordinates: M = ((x₁+x₂)/2, (y₁+y₂)/2).
Midpoint
(5, 5)
Distance
7.2111026
Steps
Mx = (2 + 8) / 2 = 5
My = (3 + 7) / 2 = 5
Midpoint = (5, 5)
Formula
M = ((x₁ + x₂) / 2, (y₁ + y₂) / 2)M = The midpoint coordinates
(x₁, y₁) = First endpoint
(x₂, y₂) = Second endpoint
Worked Example
Midpoint of (2, 3) and (8, 7)
Did you know? The midpoint formula is a special case of the section formula, which divides a line segment in any given ratio m:n. The midpoint uses the ratio 1:1 (source: Wolfram MathWorld).
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