QuestionAugust 25, 2025

Find the coordinates of the midpoint of a segment with the endpoints (7,-5) and (3,3) square square )

Find the coordinates of the midpoint of a segment with the endpoints (7,-5) and (3,3) square square )
Find the coordinates of the midpoint of a segment with the endpoints (7,-5) and (3,3) square square )

Solution
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Answer

(5, -1) Explanation 1. Identify the midpoint formula The midpoint (M) of a segment with endpoints (x_1, y_1) and (x_2, y_2) is given by **M = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right)**. 2. Apply the midpoint formula Substitute (x_1, y_1) = (7, -5) and (x_2, y_2) = (3, 3) into the formula: M = \left( \frac{7 + 3}{2}, \frac{-5 + 3}{2} \right). 3. Calculate the coordinates Simplify to find M = \left( \frac{10}{2}, \frac{-2}{2} \right) = (5, -1).

Explanation

1. Identify the midpoint formula<br /> The midpoint $(M)$ of a segment with endpoints $(x_1, y_1)$ and $(x_2, y_2)$ is given by **$M = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right)$**.<br />2. Apply the midpoint formula<br /> Substitute $(x_1, y_1) = (7, -5)$ and $(x_2, y_2) = (3, 3)$ into the formula: $M = \left( \frac{7 + 3}{2}, \frac{-5 + 3}{2} \right)$.<br />3. Calculate the coordinates<br /> Simplify to find $M = \left( \frac{10}{2}, \frac{-2}{2} \right) = (5, -1)$.
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