#### Answer

graph of $4y-x=16$:

#### Work Step by Step

The $x$-intercept is the value of $x$ when $y$ is $0.$ Setting $y=0$ in the given equation, $
4y-x=16
,$ results to
\begin{align*}
4(0)-x&=16
\\
0-x&=16
\\
-x&=16
\\
-1(-x)&=(16)(-1)
\\
x&=-16
.\end{align*}
The $x$-intercept is $(
-16,0
)$.
The $y$-intercept is the value of $y$ when $x$ is $0.$ Setting $x=0$ in the given equation results to
\begin{align*}
4y-0&=16
\\
4y&=16
\\\\
\dfrac{4y}{4}&=\dfrac{16}{4}
\\\\
y&=4
.\end{align*}
The $y$-intercept is $(
0,4
)$.
Connecting the two intercepts above gives the graph of the given equation.