IXL - Write absolute value equations from graphs (Algebra 2 practice)

Which absolute value equation represents the graph shown?

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ref_doc_title.

Learn with an example

question

Which absolute value equation represents the graph shown?

–

key idea

The distance between two points

and

on the number line is equal to

–

The midpoint is equal to

The equation

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represents the points on the number line that are

units away from the point

solution

You can represent the graph with an equation of the form

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First, find

The number

lies the same distance from 2 and from 4 on the number line. In other words,

is the midpoint between 2 and 4.

Now, find

The value of

is the distance between the midpoint, 3, and each of the points on the graph, 2 and 4. To find

calculate the distance between 3 and 2, for example.

–

You can check that the distance is the same between 3 and 4.

Finally, use the values of

and

to write an equation that represents the graph.

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Looking for more? Try these:

Lesson: Absolute value equations

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K.7Evaluate absolute value expressions

Lesson: Absolute value equations

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