Answer
$m=\dfrac{3}{4}$
Work Step by Step
Using the properties of equality, the given equation, $
3x-4y=5
$ is equivalent to
\begin{array}{l}\require{cancel}
-4y=-3x+5
\\\\
y=\dfrac{-3}{-4}x+\dfrac{5}{-4}
\\\\
y=\dfrac{3}{4}x-\dfrac{5}{4}
.\end{array}
Using $y=mx+b$ where $m$ is the slope, then the slope, $m$, of the equation above is
\begin{array}{l}\require{cancel}
m=\dfrac{3}{4}
.\end{array}
