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} ((2)/(3)(6+3)-3,(2)/(3)(1+2)-2) \\ ((18)/(3)-3,(6)/(3)-2) \\ (3,0) \end{gathered}`

Note the formula is

`((a)/(a+b)(x_2-x_1)+x_1,(a)/(a+b)(y_2-y_1)+y_1)`