Answer:
The correct option is 4. The point G located on 4.
Step-by-step explanation:
It is given that point G divides the line segment FD in 8:5.
At point F, x=-4 and at point D, x=9.
Using section formula,
[tex]x=\frac{mx_2+nx_1}{m+n}[/tex]
[tex]x=\frac{8\times 9+5\times (-4)}{8+5}[/tex]
[tex]x=\frac{72-20}{13}[/tex]
[tex]x=\frac{52}{13}[/tex]
[tex]x=4[/tex]
Therefore the correct option is 4. The point G located on 4.
