Answer:
G(3.00,3.33)
Step-by-step explanation:
The line segment begins at F(10,-2), and ends at H(4,6).
We want to find the coordinates of G(x,y), that divides FH in the ratio m:n=4:2
We use the section formula:
[tex](\frac{mx_2+nx_1}{m+n},\frac{my_2+ny_1}{m+n})[/tex]
We substitute the point and the ratio:
[tex](\frac{4 \times 4+2 \times 1}{4+2},\frac{4 \times 6+2 \times - 2}{4+2})[/tex]
We simplify to get:
[tex](\frac{16+2}{4+2},\frac{24+ - 4}{4+2})[/tex]
We add now to get:
[tex](\frac{18}{6},\frac{20}{6})[/tex]
This implies that:
[tex](3,3.33)[/tex]
