Brewer Page
07/12/2023 · Senior High School

Part B: There is a point M such that point K lies on directed line segment \( \overline{J M} \) and partitions it into a ratio of 3:2. Find the coordinates of point M . \( \mathrm{M}(3 \mathrm{x}, 5 \)

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To find the coordinates of point M, use the section formula with the ratio 3:2. If the coordinates of point M are \( (3x, 5) \) and the coordinates of point J are \( (x_1, y_1) \), the coordinates of point M can be calculated as: \[ M = \left( \frac{3 \cdot 3x + 2 \cdot x_1}{3 + 2}, \frac{3 \cdot 5 + 2 \cdot y_1}{3 + 2} \right) \] We need the coordinates of point J to find the exact coordinates of point M.

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