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.

A) 1
B) 2
C) 3
D) 4

Answer 1

A) 1

Explanation:

Answer 2

9514 1404 393

Answer:

A) 1

Explanation:

We want to find G such that ...

(G-F)/(D-G) = 8/5

5(G-F) = 8(D-G)

5G -5F = 8D-8G . . . . eliminate parentheses

13G = 8D +5F . . . . . . add 5F +8G to both sides

G = (8D +5F)/13 . . . . divide by the coefficient of G

G = (8(-4) +5(9))/13 = (-32 +45)/13 = 13/13

G = 1 . . . . . . matches choice A