Question

On a number line, suppose point E has a coordinate of 3, and EG = 5. What are the possible coordinates of point G?

Possible coordinates for G are:

a) -2
b) 8
c) 3
d) 13

Answer 1

On a number line with point E at 3 and EG equal to 5, the possible coordinates for G are -2 and 8 because G can be either to the left or to the right of E.

Step-by-step explanation:

The student is asking about finding the possible coordinates of point G on a number line, given that point E has a coordinate of 3, and the distance between E and G is 5 units. On a number line, if you start at point E (which is at 3), and EG equals 5, then there are two possible positions for G. It can be 5 units to the right of E or 5 units to the left of E.

To find the coordinates:

1. If G is to the right of E, you would add 5 to E's coordinate: 3 + 5 = 8.
2. If G is to the left of E, you would subtract 5 from E's coordinate: 3 - 5 = -2.

Therefore, the possible coordinates for point G are -2 and 8.