Write an equation involving absolute value for the graph

Midpoint: - Midpoint is calculated between two points. Let the points be a and b. Then midpoint will be the point in between them from which the distance of a and b are same.

Variables: - In any expression or equation, the variable is an unknown quantity. It may be any alphabet or any special symbol.

Constants: - In any expression or equation, the constants are the values that are fixed.

While performing addition in an equation, the same kind of elements or like terms are added together.

Absolute value: - Absolute value of any quantity simply means the positive value of that quantity.

Example: -

Consider a variable x. Here, x can be both positive or negative but $\left|x\right|$will always be positive and hence the absolute value.

First, find the midpoint of the two given points on the graph, i.e.,.17 and 27.

Let the mid-point be c. Then,

$$\begin{gathered} c=\frac{17+27}{2} \\ =\frac{44}{2} \\ =22 \end{gathered}$$

The distance from 22 to 17 is 5 units and the distance from 22 to 27 is also 5 units.

Now consider a variable x, then the equation will be: $\left|x-22\right|=5$.

Hence, the required equation is $\left|x-22\right|=5$.