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]
