The given equation is:
$$ \color{blue}{ y = - 2 x - 2 } $$To draw the graph we will find y-intercept and x-intecept.
To find y - intercept we substitute $ \color{blue}{x = 0} $:
$$ \begin{aligned} y &= - 2 x - 2 \\y &= - 2 \cdot \color{blue}{0} - 2\\y &= -2 \\\end{aligned} $$To find x - intercept we substitute $ \color{blue}{y = 0}$:
$$ \begin{aligned} y &= - 2 x - 2 \\\color{blue}{0} &= - 2 x - 2\\x &= -1\end{aligned} $$So, the graph of the equation is: