Answer:
Therefore the coordinates of point G are
[tex]G=4[/tex] OR
[tex]G=-10[/tex]
Step-by-step 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,
[tex]G-E=7[/tex]
Substituting ' E ' we get
[tex]G-(-3)=7\\G+3=7\\G=7-3\\G=4[/tex]
Similarly,
If G is to the Left of E then we have,
[tex]E-G=7[/tex]
Substituting ' E ' we get
[tex]-3-G=7\\-G=7+3\\-G=10\\G=-10[/tex]
Therefore the coordinates of point G are
[tex]G=4[/tex] OR
[tex]G=-10[/tex]