Endpoint Calculator
Last updated: May 28, 2022
Table of contents:
In geometry, a line segment is a part of a line that is bounded by two distinct end points, and contains every point on the line that is between its endpoints.
This Endpoint Calculator will find the missing endpoint from the midpoint and the known endpoint.
To find midpoint coordinates use Midpoint Calculator.
Endpoint Formula
If (x1, y1) are the coordinates of starting point, (xM, yM) are the coordinates of midpoint, then the coordinates of the endpoint (x2, y2) can be calculated by the formula:
x_{\tiny 2} = 2x_{\tiny M} – x_{\tiny 1}
y_{\tiny 2} = 2y_{\tiny M} – y_{\tiny 1}
Or shortly:
Endpoint(x_{\tiny 2},y_{\tiny 2}) = (2 x_{\tiny M} – x_{\tiny 1}, 2 y_{\tiny M} – y_{\tiny 1})
Find endpoint example
Find the endpoint of a line segment where we know one endpoint is (-3, -5) and the midpoint is (1, 2).
To answer what the endpoint of line segment is, simply replace the values in the formula to find the coordinates of the endpoint.
x_{\tiny 2} = 2 \cdot 1 – (-3) = 2 + 3 = 5
y_{\tiny 2} = 2 \cdot 2 – (-5) = 4 + 5 = 9
The endpoint of the line segment defined by coordinates of start point (-3, -5) and midpoint (1, 2) is (x2, y2) = (5, 9).
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