Respuesta :

Answer:

C(6;4)

Step-by-step explanation:

1) the coordinate 'x' of the point C is:

[tex]X_B-\frac{X_B-X_A}{3+1}=6;[/tex]

2) the coordinate 'y' of the point C is:

[tex]Y_B-\frac{Y_B-Y_A}{3+1}=4;[/tex]

3) finally, C(6;4).

note,

a) the suggested way is not the only one;

b) the given ratio 3:1 is for AC:CB.