Problem

Find the midpoint of the line segment with endpoints at \((-3, 4)\) and \((5, -2)\).

Answer

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Answer

Calculate the midpoint as \(\left(\frac{-3 + 5}{2}, \frac{4 + (-2)}{2}\right)\) = \(\left(\frac{2}{2}, \frac{2}{2}\right)\) = \((1, 1)\).

Steps

Step 1 ：The formula to find the midpoint of a line segment with endpoints at \((x_1, y_1)\) and \((x_2, y_2)\) is \(\left(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}\right)\).

Step 2 ：Substitute \(x_1 = -3\), \(y_1 = 4\), \(x_2 = 5\), and \(y_2 = -2\) into the formula.

Step 3 ：Calculate the midpoint as \(\left(\frac{-3 + 5}{2}, \frac{4 + (-2)}{2}\right)\) = \(\left(\frac{2}{2}, \frac{2}{2}\right)\) = \((1, 1)\).

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