Answer
Refer to the image below for the graph.
Work Step by Step
Write the equation in $y=mx+b$ by isolating $y$ on the left side of the equation:
\begin{array}{ccc}
&3x-4y&=&4
\\&-4y&=&4-3x
\\&-4y&=&-3x+4
\\&\frac{-4y}{-4}&=&\frac{-3x+4}{-4}
\\&y &=&\frac{3}{4}x-1
\end{array}
The given equation has:
slope = $\dfrac{3}{4}\\$
y-intercept = $-1$
To graph the equation, perform the following steps:
(1) Plot the y-intercept point $(0, -1)$.
(2) From $(0, -1)$, use the slope to locate another point.
Move 3 units up (the rise) and 4 units to the right (the run) to end at the point $(4, 2)$.
(3) Connect the two points using a straight line to complete the graph.
(refer to the attached image in the answer part for the graph)