A directed line segment begins at F(10,-2), ENDS AT h(4,6) and is divided in the ratio 4 to 2 by G. What are the coordinates of G? Round to the nearest hundredth if necessary

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:

We substitute the point and the ratio:

We simplify to get:

We add now to get:

This implies that:

step-by-step explanation: