Mathematics: Which table represents a linear function?

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Which table represents a linear function?

Ответ:

emory238

10.03.2022

Mathematics

The first table.

Step-by-step explanation:

If from a table a ratio

$\dfrac{y_2-y1}{x_2-x_1}$

is constant, then a table represents a linear function. $\begin{array}{c|c}x&y\\1&-2\\2&-10\\3&-18\\4&-26\end{array}\\\\\dfrac{-10-(-2)}{2-1}=\dfrac{-8}{1}=-8\\\dfrac{-18-(-10)}{3-2}=\dfrac{-8}{1}=-8\\\dfrac{-26-(-18)}{4-3}=\dfrac{-8}{1}=-8$

$\begin{array}{c|c}x&y\\1&-2\\2&-4\\3&-8\\4&-16\end{array}\\\\\dfrac{-4-(-2)}{2-1}=\dfrac{-2}{1}=-2\\\dfrac{-8-(-4)}{3-2}=\dfrac{-4}{1}=-4$

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Which table represents a linear function?

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