Point M lies on the line segment joining the points A(6, 0) and B(0, 8) such that AM : BM = 2 : 3, the coordinates of point M are ______.

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Point M lies on the line segment joining the points A(6, 0) and B(0, 8) such that AM : BM = 2 : 3, the coordinates of point M are bbunderline(($\frac{18}{5}$, $\frac{16}{5}$). Explanation: Apply the section formula: The point dividing A(x1, y1) and B(x2, y2) internally in ratio m1 : m2 has coordinates, `((m_1x_2 + m_2x_1) / (m_1 + m_2), (m_1y_2 + m_2y_1) / (m_1 + m_2))` With m1 = 2, m2 = 3, A(6, 0), B(0, 8), This gives M = ($\frac{18}{5}$, $\frac{16}{5}$)

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