Problem

Determine the midpoint of the line segment with the endpoints (8,5) and (-3,4):
5. $(8,5)$ and $(-3,4)$

Answer

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Answer

\(\boxed{(2.5, 4.5)}\) is the final answer.

Steps

Step 1 :Given the endpoints of a line segment as (8,5) and (-3,4).

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

Step 3 :Substitute the given values into the formula to find the midpoint.

Step 4 :The midpoint of the line segment with endpoints (8,5) and (-3,4) is (2.5, 4.5).

Step 5 :\(\boxed{(2.5, 4.5)}\) is the final answer.

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