Respuesta :

Answer:[tex]\frac{3}{2}[/tex]

Step-by-step explanation:

Given

A=(-3,4)

B=(2,0)

Co-ordinates of Point P[tex]=(-1,-\frac{12}{5})[/tex]

Let say P divides AB in ratio of k:1

x co-ordinate of P is also given by

[tex]x=\frac{kx_1+x_2}{k+1}[/tex]

[tex]y=\frac{ky_1+y_2}{k+1}[/tex]

[tex]-1=\frac{-3k+2}{k+1}[/tex]

[tex]2k=3[/tex]

[tex]k=\frac{3}{2}[/tex]

Answer:

Actually the correct answer is 2:3