Question

On number line point E has a coordinate of-3 and EG =7 what are the coordinates of point G

Answer 1

Therefore the coordinates of point G are

`G=4` OR

`G=-10`

Explanation:

Given:

On number line point E has a coordinate of -3 and

EG =7

To Find:

what are the coordinates of point G = ?

Solution:

If G is to the Right of E then we have,

`G-E=7`

Substituting ' E ' we get

`G-(-3)=7\\G+3=7\\G=7-3\\G=4`

Similarly,

If G is to the Left of E then we have,

`E-G=7`

Substituting ' E ' we get

`-3-G=7\\-G=7+3\\-G=10\\G=-10`

Therefore the coordinates of point G are

`G=4` OR

`G=-10`