Question

On a number line, suppose point E has a coordinate of 2, and EG= 12. what are the possible coordinates of point G

Answer 1

Answer:

Step-by-step explanation:

the length of EG is 6 so G is 6 units away from E. If E is at 3, then G is at 3+6 = 9

 

X is 12 units away from E so X is at 3 + 12 = 15

 

This assumes you are not using negative numbers.

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Answer 2

Number line are used to represent numbers on a line at regular intervals. The possible coordinates of G is either 10 or -14.

Given that:

$G = 2$

$EG = 12$

The equation that calculates EG is:

$EG = |E - G|$

So, we have:

$12 = |2 - G|$

Remove absolute brackets

$2 - G = \± 12$

Add 2 to both sides

$-G =2 \± 12$

Rewrite as:

$G =-2 \± 12$

Split

$G =- 2 - 12$ or $G = -2 + 12$

$G = -14$ or $G = 10$

The possible coordinates of G are: 10 or -14.

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