Which table represents a linear function?

| *x* | *y* | *x* | *y* | *x* | *y* | *x* | *y* |
| --- | --- | --- | --- | --- | --- | --- | --- |
| 1 | −2 | 1 | −2 | 1 | −2 | 1 | −2 |
| 2 | −6 | 2 | −5 | 2 | −10 | 2 | −4 |
| 3 | −2 | 3 | −9 | 3 | −18 | 3 | −8 |
| 4 | −6 | 4 | −14 | 4 | −26 | 4 | −16 |

Question

Which table represents a linear function?

|  *x* | *y* | *x* | *y* | *x* | *y* | *x* | *y*  |
| --- | --- | --- | --- | --- | --- | --- | --- |
|  1 | −2 | 1 | −2 | 1 | −2 | 1 | −2  |
|  2 | −6 | 2 | −5 | 2 | −10 | 2 | −4  |
|  3 | −2 | 3 | −9 | 3 | −18 | 3 | −8  |
|  4 | −6 | 4 | −14 | 4 | −26 | 4 | −16  |

StudyXY · Accepted Answer

I'll solve this systematically by checking each table for linearity. : Recall the definition of a linear function : Check first table's linearity : Check second table's linearity : Check third table's linearity : Check fourth table's linearity The first table represents a linear function, with slope $-4$ and equation $y = -4x + (-2)$.

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QuestionAnatomy and Physiology

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Step 1
I'll solve this systematically by checking each table for linearity.

Step 2
: Recall the definition of a linear function

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