Question

On a number line, suppose point E has a coordinate of 1, and EG=5. What are the possible coordinates of point G? ​

Answer 1

-4 and 6

Explanation:

The distance between two points, x and y, on the number line is |x - y|.

Here, we have points E and G, so the distance between points E and G on the number line is |E - G|.

Let E = 1.

We need to find the possible values of the other point, G.

The distance between 1 and G is

|1 - G|

The distance is 5.

|1 - G| = 5

1 - G = 5 or 1 - G = -5

-G = 4 or -G = -6

G = -4 or G = 6

Answer: -4 and 6