Answer
$y=-2x$
Work Step by Step
Substituting $
x=0
$ in the given equation, $
y=-2x
,$ results to
\begin{array}{l}\require{cancel}
y=-2x
\\
y=-2(0)
\\
y=0
.\end{array}
Substituting $
y=0
$ in the given equation, $
y=-2x
,$ results to
\begin{array}{l}\require{cancel}
y=-2x
\\
0=-2x
\\
\dfrac{0}{-2}=x
\\
x=0
.\end{array}
Substituting $
x=-2
$ in the given equation, $
y=-2x
,$ results to
\begin{array}{l}\require{cancel}
y=-2x
\\
y=-2(-2)
\\
y=4
.\end{array}
The table below summarizes the results above. It is also used to graph the given equation.