Question

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.


Question 5 options:


(3.33, 6)


(7.33, 0.67)


(0.67, 7.33)


(6, 3.33)

Answer 1

Explanation:

G is 4/6 of the distance from F to H.

Difference of x-coordinates = 4-10 = -6

10 + 4/6 of -6 = 6

Difference of y-coordinates = 6-(-2) = 8

-2 + 4/6 of 8 = 10/3

G(6, 3.33)