Answer
The graph is shown below.
Work Step by Step
The given linear equation is
$\Rightarrow y=\frac{1}{4}x-\frac{3}{4}$
For the vertical intercept plug $x=0$.
$\Rightarrow y=\frac{1}{4}(0)-\frac{3}{4}$
Simplify.
$\Rightarrow y=-\frac{3}{4}=-0.75$
The vertical intercept is $A=(0,-0.75)$
Slope is $m=\frac{1}{4}$, so the rise is $1$ when the run is $4$.
Starting at $(0,-0.75)$ and going up $1$ and over $4$, we get to $B=(4,0.25)$.
Repeat the same to get the next point $C=(8,1.25)$.
By using theses three points draw a line.
