Definition
The midpoint M
of the line segment joining the points (x_{1}, y_{1}) and (x _{2}, y _{2}) is

Example Problem
Given the points ( 1, 2 ) and ( 3, 5 ), find the midpoint of the line segment joining them. 
Solution
Using the midpoint formula, label the
points as x_{1}
= 1, y_{1} = 2, x_{2} = 3, and y_{2} = 5. To find the midpoint M of the line segment joining the points, use the midpoint formula : 
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