Answer
$m=-\dfrac{1}{7}$
Work Step by Step
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}
.$
