Answer:
The correct option is 3.
Step-by-step explanation:
It is provided that:
A number line goes from negative 5 to positive 10.
Point D is at negative 2, i.e. Point D = -2.
Point F is at positive 7, i.e. Point F = 7.
A line is drawn from point D to point F.
Point G divides the directed line segment from D to F into a 5 : 4 ratio.
Consider the diagram below.
The distance between the points D and F is of 9 units (from -2 to 7).
If Point G divides the directed line segment from D to F into a 5 : 4 ratio, then the point G must be located at 3.
Thus, the correct option is 3.