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