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. |
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3. \(y=\dfrac{1}{3}x-4\) Increasing The slope is positive. |
4. Decreasing Order the \(x\)-values from least to greatest to show that the \(y\)-values decrease. |
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5.
Undefined The \(y\)-values vary as the \(x\)-values remain constant. |
6. \(y=-3x+2\) Decreasing The slope is negative. |
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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 (Increasing or Decreasing Solutions)