First, we solve for y in the expression:
[tex]\begin{gathered} 4x+2y=-8\Rightarrow2y=-4x-8 \\ \\ \Rightarrow y=-2x-4 \end{gathered}[/tex]So, the y-intercept is (0, -4).
The error is that you are given the wrong y-intercept and the wrong x-intercept; they are swapped in the place of writting.