Exercise 30 Page 32

If we have two points on a number line, we can use the midpoint between the points and the distance from each point to the midpoint to write an absolute value equation. Notice that the left-hand side of the equation is in the form $|x-a|.$ Keeping that in mind, we can rewrite our equation. Now, we can determine the midpoint as $\text{-}4$ and the distance from the midpoint as $2.$

This number line corresponds with option A.