Find the coordinates of the point which divides the join of (-1,7)and(

1.	Find the coordinates of the point which divides the join of (-1,7)and(4,-3)in the ratio 2:3.
Answer» Let the coordinates of the required point be (x, y). Then,{tex}x = \\frac{{{m_1}{x_2} + {m_2}{x_1}}}{{{m_1} + {m_2}}}{/tex}{tex}= \\frac{{(2)(4) + (3)( - 1)}}{{2 + 3}}{/tex}{tex}= \\frac{{8 - 3}}{5} = \\frac{5}{5} = 1{/tex}{tex}y = \\frac{{{m_1}{y_2} + {m_2}{y_1}}}{{{m_1} + {m_2}}}{/tex}{tex} = \\frac{{(2)( - 3) + (3)(7)}}{{2 + 3}}{/tex}{tex} = \\frac{{ - 6 + 21}}{5} = \\frac{{15}}{5} = 3{/tex}Hence, the required point is (1, 3).

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