Respuesta :

the given equation is,

[tex]8x+4y=-48[/tex]

Now, we will solve it further,

[tex]\begin{gathered} 8x+4y=-48 \\ 4y=-8x-48 \end{gathered}[/tex][tex]\begin{gathered} y=\frac{-8x-48}{4} \\ y=-2x-12 \end{gathered}[/tex]

Now, we will put x=0 to get the intercept of the line on the Y axis,

[tex]\begin{gathered} y=-2x-12 \\ y=-2\times0-12 \\ y=-12 \end{gathered}[/tex]

So, the Y-intercept of the given line equation is -12.