QuestionJuly 15, 2025

Find the midpoint of the segment with the given endpoints. (-1,4) and (-9,-6)

Find the midpoint of the segment with the given endpoints. (-1,4) and (-9,-6)
Find the midpoint of the segment with the given endpoints.
(-1,4) and (-9,-6)

Solution
4.5(244 votes)

Answer

(-5, -1) Explanation 1. Apply Midpoint Formula Use the midpoint formula \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right). 2. Calculate Midpoint Coordinates Substitute x_1 = -1, x_2 = -9, y_1 = 4, y_2 = -6 into the formula: \left( \frac{-1 + (-9)}{2}, \frac{4 + (-6)}{2} \right).

Explanation

1. Apply Midpoint Formula<br /> Use the midpoint formula $\left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right)$.<br />2. Calculate Midpoint Coordinates<br /> Substitute $x_1 = -1$, $x_2 = -9$, $y_1 = 4$, $y_2 = -6$ into the formula: $\left( \frac{-1 + (-9)}{2}, \frac{4 + (-6)}{2} \right)$.
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