#### Answer

Refer to the image below for the graph.

#### Work Step by Step

Write the equation in $y=mx+b$ by iusolating $y$ on the left side of the equation:
\begin{array}{ccc}
&4x-7y&=&-14
\\&-7y&=&-14-4x
\\&-7y&=&-4x-14
\\&\frac{-7y}{-7}&=&\frac{-4x-14}{-7}
\\&y &=&\frac{4}{7}x+2
\end{array}
The given equation has:
slope = $\dfrac{4}{7}\\$
y-intercept = $2$
To graph the equation, perform the following steps:
(1) Plot the y-intercept point $(0, 2)$.
(2) From $(0, 2)$, use the slope to locate another point.
Move 4 units up (the rise) and 7 units to the right (the run) to end at the point $(7, 6)$.
(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)