Answer
The graph is shown below.
Work Step by Step
The given linear equation is
$\Rightarrow y=-\frac{1}{4}x+\frac{9}{4}$
For the vertical intercept plug $x=0$.
$\Rightarrow y=-\frac{1}{4}(0)+\frac{9}{4}$
Simplify.
$\Rightarrow y=\frac{9}{4}=2.25$
The vertical intercept is $A=(0,2.25)$
Slope is $m=\frac{-1}{4}$, so the rise is $-1$ when the run is $4$.
Starting at $(0,2.25)$ and going down $1$ and over $4$, we get to $B=(4,1.25)$.
Repeat the same to get the next point $C=(8,0.25)$.
By using theses three points draw a line.
