Midpoint Formula Math Example 3

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Example 3

easy
Find the midpoint of the segment joining (−5,3)(-5, 3) and (7,−1)(7, -1).

Solution

  1. 1
    Apply the midpoint formula: M=(−5+72,3+(−1)2)M = \left(\frac{-5 + 7}{2}, \frac{3 + (-1)}{2}\right).
  2. 2
    Simplify: M=(22,22)=(1,1)M = \left(\frac{2}{2}, \frac{2}{2}\right) = (1, 1).

Answer

M=(1,1)M = (1, 1)
Average the coordinates to find the midpoint, even when some values are negative.

About Midpoint Formula

A formula for finding the point exactly halfway between two points in the coordinate plane, by averaging their coordinates.

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More Midpoint Formula Examples

Example 1 easy

Find the midpoint of the segment joining [formula] and [formula].

Example 2 medium

The midpoint of segment [formula] is [formula]. If [formula], find the coordinates of [formula].

Example 4 easy

A circle has diameter endpoints [formula] and [formula]. Find the coordinates of the centre of the c

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