Question

Which table represents a linear function?

Answer 1

The first table.

Explanation:

If from a table a ratio

`(y_2-y1)/(x_2-x_1)`

is constant, then a table represents a linear function.
`\begin{array}cx&y\\1&-2\\2&-10\\3&-18\\4&-26\end{array}\\\\(-10-(-2))/(2-1)=(-8)/(1)=-8\\(-18-(-10))/(3-2)=(-8)/(1)=-8\\(-26-(-18))/(4-3)=(-8)/(1)=-8`

`\begin{array}cx&y\\1&-2\\2&-4\\3&-8\\4&-16\end{array}\\\\(-4-(-2))/(2-1)=(-2)/(1)=-2\\(-8-(-4))/(3-2)=(-4)/(1)=-4`