The coordinates of the point C which divides the segments joining the points A(x1, y1) and B(x2, y2) in the ratio a:b are calculated as follows:
[tex]C(x_1+\frac{a}{a+b}(x_2-x_1),y_1+\frac{a}{a+b}(y_2-y_1))[/tex]Substituting with A(2, 4), B(10, 10) and the partition ratio 1:3, we get:
[tex]\begin{gathered} C(2+\frac{1}{1+3}(10-2),4+\frac{1}{1+3}(10-4)) \\ C(2+\frac{1}{4}\cdot8,4+\frac{1}{4}\cdot6) \\ C(4,\frac{11}{2}) \end{gathered}[/tex]