Final answer:
The possible locations for point E could be determined by subtracting 9 units from the location of point F on the number line.
Step-by-step explanation:
To determine the location of point E given that EF = 9 and F = -5, we can use the concept of displacement vectors. A displacement vector represents a change in position from one point to another. In this case, the displacement vector EF has a magnitude of 9 units and direction of -5 units along the number line. Since E is located before F, its position would be 9 units to the left of F. Therefore, the possible locations for E would be -14, -23, -32, -41, and so on, separated by commas.