On a number​ line, suppose point E has a coordinate of-5 ​, and EG=6. What are the possible coordinates of point​ G?

Answer 1

We are told that point E has a coordinate of -5 and that the length of the line segment EG is 6.

On a number line, this means that point G can be 6 units to the right of E or 6 units to the left of E.

We determine the exact coordinate of G by adding and subtracting 6 from the coordinate of E.

So, G can be -5+6 = 1

Or, G can be -5-6 = -11

The coordinate of point G can be -11 or 1.