Problem

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

Answer

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Answer

Solving the fractions, we get \((\frac{1}{2}, \frac{3}{2})\).

Steps

Step 1 ：The formula for the midpoint of a line segment with endpoints (x1, y1) and (x2, y2) is \((\frac{x1 + x2}{2}, \frac{y1 + y2}{2})\).

Step 2 ：Substituting the given coordinates into the formula, we get \((\frac{-3 + 4}{2}, \frac{5 + -2}{2})\).

Step 3 ：Solving the fractions, we get \((\frac{1}{2}, \frac{3}{2})\).

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