Answer
The graph is shown below.
Work Step by Step
The given equation is
$\Rightarrow 6x-y=-1$
Add $y+1$ to each side.
$\Rightarrow 6x-y+y+1=-1+y+1$
Simplify.
$\Rightarrow 6x+1=y$
$\Rightarrow y=6x+1$
The slope-intercept form is
$\Rightarrow y=mx+b$
$y-$ intercept is $b=1$.
Plot the $y-$ intercept $A=(0,1)$.
The slope is $m=6$.
Slope $m=\frac{rise}{run}=\frac{6}{1}$
The next point is $1$ unit right and $6$ unit up from the point $(1,7)$.
Plot the point $B=(1,7)$.
Draw a line through the two points.
