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.