LINR 1 | Lesson 3 | Practice (Increasing or Decreasing Solutions)

Practice

Increasing, Decreasing, Undefined, or Constant?

Lines can be represented in tables, graphs, and equations.  Identify whether each linear representation below has a slope that is increasing, decreasing, undefined, or constant.

All graphs and tables created in Desmos.com.

1.

Decreasing

The \(y\)-values decrease as the \(x\)-values increase.

2.

Increasing 

The \(y\)-values increase as the \(x\)-values increase.

3.  \(y=\frac{1}{3}x-4\)

Increasing

The slope is positive.

4.

 

Decreasing

Order the \(x\)-values from least to greatest to show that the \(y\)-values decrease.

5.

Undefined

The \(y\)-values vary as the \(x\)-values remain constant.

6.  \(y=-3x+2\)

Decreasing

The slope is negative.

 

7.

 

Constant

The \(y\)-values are constant as the \(x\)-values increase.

8.

 

Decreasing

The \(y\)-values decrease as the \(x\)-values increase.

 

Return to Practice.

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