## Intermediate Algebra (6th Edition)

$m=-\dfrac{1}{7}$
Using $y=mx+b$ or the Slope-Intercept Form of linear equations where $m$ is the slope, then the given equation, $x+7y=2$, is equivalent to \begin{align*} 7y=-x+2 \\\\ y=-\dfrac{1}{7}x+\dfrac{2}{7} .\end{align*} Hence, the slope is $m=-\dfrac{1}{7} .$