QuestionAugust 25, 2025

Find the midpoint of the segment with the following endpoints. (8,9) and (4,3) Answer Attempt 1 out of 2

Find the midpoint of the segment with the following endpoints. (8,9) and (4,3) Answer Attempt 1 out of 2
Find the midpoint of the segment with the following endpoints. (8,9) and (4,3) Answer Attempt 1 out of 2

Solution
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Answer

(6, 6) 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. Substitute the coordinates into the formula Substitute (x_1, y_1) = (8, 9) and (x_2, y_2) = (4, 3) into the formula: M = \left( \frac{8 + 4}{2}, \frac{9 + 3}{2} \right). 3. Calculate the midpoint Simplify to find M = \left( \frac{12}{2}, \frac{12}{2} \right) = (6, 6).

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 /><br />2. Substitute the coordinates into the formula<br /> Substitute $(x_1, y_1) = (8, 9)$ and $(x_2, y_2) = (4, 3)$ into the formula: $M = \left( \frac{8 + 4}{2}, \frac{9 + 3}{2} \right)$.<br /><br />3. Calculate the midpoint<br /> Simplify to find $M = \left( \frac{12}{2}, \frac{12}{2} \right) = (6, 6)$.
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