On a number​ line, suppose point E has a coordinate of - 2​, and EG = 9. What are the possible coordinates of point​ G?

Answer 1

–∞←¦——¦——¦——¦——¦——¦——¦——¦——¦——¦——¦——¦——¦——¦——¦——¦——¦→+∞

____-11___-10___-9___-8____-7____-6___-5____-4____-3____-2___-1_____0____1____2_____3____4____5

The Real Number line is just a one dimensional line, if you are at any point on the line you can only move

in two directions

1) positive direction - to the right

2) negative direction - to the left

If E is at -2 and EG = 9, Then point G is 9 units from E since the length of EG is 9

9 units to the right is

-2 + 9 = 7

9 units to the left is

-9 - 9 = -11

Thus, there are only two possibilities for G, 7 or -11 Answer

Answer 2

If you are starting at -2, you could go 9 in the positive direction or negative direction. This would be:

-2+9 = 7

-2-9 = -11

7 and -11 are the possible coordinates.