the given end points are ,
A(-9,3)
B(1,8)
the ratio is , m : n = 2: 3
the formula of parting a line in m: n is given as follows,
so the points will be,
[tex]x=\frac{mx_2+nx_1}{m+n}[/tex][tex]x=\frac{2\times1+3\times-9}{2+3}[/tex][tex]\begin{gathered} x=\frac{2-27}{5}=\frac{-25}{5} \\ x=-5 \end{gathered}[/tex]and the y-coordinate of the point is
[tex]y=\frac{2\times8+3\times3}{2+3}[/tex][tex]\begin{gathered} y=\frac{16+9}{5}=\frac{25}{5} \\ y=5 \end{gathered}[/tex]thus, the point is (-5,5)
it means point P(-5,5) is dividing the line AB in ratio 2: 3
thus, the answer is (-5,5)
