Answer
The points are wrong.
The correct points are $(0,-2)$ and (1,2).
The correct graph is shown below.
Work Step by Step
The given equation is
$\Rightarrow -4x+y=-2$
Add $4x$ to each side.
$\Rightarrow -4x+y+4x=-2+4x$
Simplify.
$\Rightarrow y=4x-2$
The slope-intercept form is
$\Rightarrow y=mx+b$
$y-$ intercept is $b=-2$.
Plot the $y-$ intercept $A=(0,-2)$.
The slope is $m=4$.
Slope $m=\frac{rise}{run}=\frac{4}{1}$
The next point is $1$ unit right and $4$ unit up from the point $(1,2)$.
Plot the point $B=(1,2)$.
Draw a line through the two points.
Hence, the points are wrong.
The correct points are $(0,-2)$ and (1,2).
