Final answer:
The possible coordinates of point G on a number line, given point E at -4 and EG=6, are either -10 or 2. The exact position depends on the direction from point E to G.
Step-by-step explanation:
The student's question pertains to finding the possible coordinates of point G on a number line, given that point E has a coordinate of -4 and the distance EG equals 6 units. To solve this problem, we consider two scenarios since a number line is one-dimensional.
Scenario 1: If point G is to the right of point E, we add the distance EG to the coordinate of E:
-4 + 6 = 2. Therefore, the coordinate of point G could be 2.
Scenario 2: If point G is to the left of point E, we subtract the distance EG from the coordinate of E:
-4 - 6 = -10. In this case, the coordinate of point G could be -10.
Given the options provided in the question, the possible coordinates of point G are A. -10 or B. 2.