Question

What is the location of point G, which partitions the directed line segment from D to F into a 5:4 ratio?

A number line goes from negative 5 to positive 10. Point D is at negative 2 and point F is at positive 7. A line is drawn from point D to point F.

–1
0
2
3

Answer 1

3

Reason: G is 5/9 of the way from D (-2) to F (7). DG = (5/9)(7 - (-2)) = (5/9)(9) = 5, so G = -2 + 5 = 3.