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Is there a linear relationship in the table?

$x$	$y$
$-8$	$3.1$
$-5$	$2.1$
$-2$	$1.1$
$1$	$0.1$

Solution

From one $x$ -value to the next, the change is always $3\text{.}$ From one $y$ -value to the next, the change is always $-1\text{.}$ So the rate of change is always $\frac{-1}{3}=-\frac{1}{3}\text{.}$ Since the rate of change is constant, the data have a linear relationship.