Answer :
Given the equation:
[tex]4x+y=0[/tex]we have that the slope form of the equation of the line is:
[tex]y=mx[/tex]In this case, we have the following:
[tex]\begin{gathered} 4x+y=0 \\ \Rightarrow y=-4x \end{gathered}[/tex]therefore, the equation in slope form is y = -4x