Respuesta :

If a line with coordinates (x1, y1) and (x2, y2) is partitioned at point P in a ratio a:b, point P is located at:

[tex](x_1+\frac{a}{a+b}(x_2-x_1),y_1+\frac{a}{a+b}(y_2-y_1))[/tex]

In this case, the points are A(0,3) and B(3,9), and the ratio is 1:2, then P is located at:

[tex]\begin{gathered} (0+\frac{1}{1+2}(3-0),3+\frac{1}{1+2}(9-3)) \\ (0+\frac{1}{3}\cdot3,3+\frac{1}{3}\cdot6) \\ (1,5) \end{gathered}[/tex]

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