write an absolute value equation that represents the graph shown. your answer should use the form $|x - a| =…

write an absolute value equation that represents the graph shown. your answer should use the form $|x - a| = b$ or $|x + a| = b$, where a and b are whole numbers, decimals, or simplified fractions.

write an absolute value equation that represents the graph shown. your answer should use the form $|x - a| = b$ or $|x + a| = b$, where a and b are whole numbers, decimals, or simplified fractions.

Answer

Explanation:

Step1: Find the mid - point (a)

The mid - point (a) between (9) and (12) is (\frac{9 + 12}{2}=\frac{21}{2}=10.5).

Step2: Find the distance (b)

The distance (b) from the mid - point to either (9) or (12) is (|12-10.5| = 1.5) (or (|9 - 10.5|=1.5)).

Using the formula (|x - a|=b), we substitute (a = 10.5) and (b = 1.5)

Answer:

(|x-10.5|=1.5)