X(1, -2) Y(10, 5)
Using internal section formula,
[tex]\begin{gathered} (\frac{m_1x_2+m_2x_1}{m_2+m_1},\frac{m_1y_2+m_2y_1}{m_2+m_1}) \\ m_1=4 \\ m_2=1 \end{gathered}[/tex]Therefore,
[tex]\begin{gathered} (\frac{4(10)+1(1)}{1+4},\frac{4(5)+1(-2)}{1+4}) \\ (\frac{40+1}{5},\frac{20-2}{5}) \\ (\frac{41}{5},\frac{18}{5}) \end{gathered}[/tex]