QuestionAugust 25, 2025

9. F(2,-6) and G(-8,5) square 7 MP=(square ,square )

9. F(2,-6) and G(-8,5) square 7 MP=(square ,square )
9. F(2,-6) and G(-8,5) square 7 MP=(square ,square )

Solution
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Answer

MP=(-3, -0.5) Explanation 1. Calculate the midpoint Use the midpoint formula MP = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right). 2. Substitute values Substitute F(2,-6) and G(-8,5) into the formula: MP = \left( \frac{2 + (-8)}{2}, \frac{-6 + 5}{2} \right). 3. Simplify Simplify to find MP = \left( \frac{-6}{2}, \frac{-1}{2} \right) = (-3, -0.5).

Explanation

1. Calculate the midpoint<br /> Use the midpoint formula $MP = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right)$.<br />2. Substitute values<br /> Substitute $F(2,-6)$ and $G(-8,5)$ into the formula: $MP = \left( \frac{2 + (-8)}{2}, \frac{-6 + 5}{2} \right)$.<br />3. Simplify<br /> Simplify to find $MP = \left( \frac{-6}{2}, \frac{-1}{2} \right) = (-3, -0.5)$.
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