Answer:
[tex]C(x,y) = (\frac{10}{4},\frac{-1}{4})[/tex]
Step-by-step explanation:
Given
[tex]A(x_1,y_1) = (2,-1)[/tex]
[tex]B(x_2,y_2) = (4,2)[/tex]
Required
Partition = 1:3
Here, we'll make use of the following formula:
[tex]C(x,y) = (\frac{nx_1 + mx_2}{m + n},\frac{ny_1 + my_2}{m + n})[/tex]
Where
[tex]m:n = 1:3[/tex]
Substitute values for m,n,x1,x2,y1 and y2
[tex]C(x,y) = (\frac{3 * 2 + 1 * 4}{1 + 3},\frac{3 * -1 + 1 * 2}{1 + 3})[/tex]
[tex]C(x,y) = (\frac{10}{4},\frac{-1}{4})[/tex]
