Answer
$\{(0,-4)\}$
Work Step by Step
Graph each line
(plot two points per line, such as the intercepts)
$y=-2x-4:\quad \left[\begin{array}{lll}
x=0 & ... & x=-1\\
y=0-4 & & y=-2(-1)-4\\
y=-4 & & y=-2\\
(0,-4) & & (-1,-2)
\end{array}\right]$
$4x-2y=8:\quad \left[\begin{array}{lll}
x=0 & ... & y=0\\
-2y=8 & & 4x-0=8\\
y=-4 & & x=2\\
(0,-4) & & (2,0)
\end{array}\right]$
There is an intersection point, $(0,-4).$
Solution set = $\{(0,-4)\}$
