Question

What is the location of point G, which partitions the directed line segment from F to D into an 8:5 ratio? 1 2 3 4

Answer 1

Since the line is 13 units and 8:5 is 13 parts each proportion is 1 unit. Which means 8 parts and 5 parts are on the line. And 8 plus -4, is 4. 

The answer is D (4)

Answer 2

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,

$x=\frac{mx_2+nx_1}{m+n}$

$x=\frac{8\times 9+5\times (-4)}{8+5}$

$x=\frac{72-20}{13}$

$x=\frac{52}{13}$

$x=4$

Therefore the correct option is 4. The point G located on 4.