Question

On a number line, suppose the coordinate of A is 0, and AR = 9. What are the possible coordinates of the midpoint of AR?

Answer 1

Given:

On a number line, suppose the coordinate of A is 0, and AR = 9.

To find:

The possible coordinates of the midpoint of AR.

Solution:

Coordinate of A is 0, and AR = 9.

It means the distance between point A and R is 9 units. It means, point R can be either left side or right side of A. So, location of point R can be either -9 or 9.

If coordinate of R is -9, then midpoint of AR is

$\dfrac{0+(-9)}{2}=-4.5$

If coordinate of R is 9, then midpoint of AR is

$\dfrac{0+(9)}{2}=4.5$

Therefore, the possible coordinates of the midpoint of AR are -4.5 and 4.5.