Q50. - Algebra 1

Question

Write an equation involving absolute value for each graph.

Step-by-Step Solution

Answer

The absolute value equation will be $\left|x-0.665\right|=0.665$.

Step-1. Define absolute value equation.

For any real numbers a and b, if $\left|a\right|=b$ and $b\ge 0$, then $a=b$ or $a=-b$.

Step-2. Find the mid-point of points -1.5 and 1.5.

To find the point midway between two points 0 and 1.33, add the two values and divide by 2.

$\begin{array}{c}\text{Midpoint}=\frac{0+1.33}{2}\\ =\frac{1.33}{2}\\ =0.665\end{array}$

Step-3. Write the equation.

Since, the midpoint of 0 and 1.33 is 0.665, that is, the distance from 0 to 0.665 is 0.665 units and the distance from 0.665 to 1.33 is also 0.665 units.

 

So, the absolute value equation will be: $\left|x-0.665\right|=0.665$.