Question
Find the midpoint of the line segment with the endpoints \( A \) and \( B \). \( A(2,10) ; B(8,6) \) The midpoint of the line segment is \( \square \). (Type an ordered pair.)
Ask by Bradley Chen. in the United States
Feb 03,2025
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Answer
The midpoint of the line segment is (5, 8).
Solution
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To find the midpoint of the line segment with endpoints \( A(2,10) \) and \( B(8,6) \), you can use the midpoint formula, which is given by: \[ M = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right) \] Plugging in the coordinates: \[ M = \left( \frac{2 + 8}{2}, \frac{10 + 6}{2} \right) = \left( \frac{10}{2}, \frac{16}{2} \right) = (5, 8) \] The midpoint of the line segment is \( (5, 8) \).