start by obtaing the ratio usind the formula
[tex]r=\frac{\bar{P_1P}}{\bar{PP_2}}=\frac{\frac{1}{6}}{\frac{5}{6}}=\frac{1}{5}[/tex]After having the ratio use the formula
[tex](x,y)=(\frac{x_1+rx_2}{1+r},\frac{y_1+ry_2}{1+r})[/tex]replace in the formula tking into account that the coordinates that refers to point 1 is the closer point
[tex](x,y)=(\frac{x_1+rx_2}{1+r},\frac{y_1+ry_2}{1+r})[/tex]