Question

.. Given the point A (-3, -2) and B (6,1), find the coordinates of the point P on directed line segment AB that partition AB in the ratio 2:1.

Answer 1

A(-3, -2) and B(6, 1)

Therefore,

$\begin{gathered} (\frac{2}{3}(6+3)-3,\frac{2}{3}(1+2)-2) \\ (\frac{18}{3}-3,\frac{6}{3}-2) \\ (3,0) \end{gathered}$

Note the formula is

$(\frac{a}{a+b}(x_2-x_1)+x_1,\frac{a}{a+b}(y_2-y_1)+y_1)$