Answer
$m=\dfrac{1}{5}$
Work Step by Step
$\bf{\text{Solution Outline:}}$
Convert the given equation, $
x-5y=0
,$ to the Slope-Intercept Form to identify the slope of the line.
$\bf{\text{Solution Details:}}$
Using the properties of equality, in the Slope-Intercept Form which is given by $y=mx+b,$ the given equation is equivalent to
\begin{array}{l}\require{cancel}
x-5y=0
\\\\
-5y=-x
\\\\
y=\dfrac{-x}{-5}
\\\\
y=\dfrac{1}{5}x
.\end{array}
Since $m$ is the slope in the equation $y=mx+b,$ then the slope of the linear equation above is $
m=\dfrac{1}{5}
.$