Question

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

A number line goes from negative 5 to 10. Point D is at negative 4 and point F is at 9. A line is drawn from point D to point F.

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Answer 1

G is at x = 1.

Work: FD = D − F = −4 − 9 = −13. FG = (8/13)·FD = (8/13)(−13) = −8, so G = F + FG = 9 − 8 = 1.