Find the midpoint of the line segment joining $(1, 2)$ and $(3, 4)$

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Solution

Let $A (x_{1}, y_{1}) = (1, 2), B (x_{2}, y_{2}) = (3, 4)$ be the points of a line segment

Midpoint of $A B = (\frac{x_{1} + x_{2}}{2}, \frac{y_{1} + y_{2}}{2})$

Midpoint of $A B = (\frac{1 + 3}{2}, \frac{2 + 4}{2})$

Midpoint of $A B = (\frac{4}{2}, \frac{6}{2})$

Midpoint of $A B$ $= (2, 3)$

Hence the midpoint of $A B$ is $(2, 3)$

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