The general form of a linear equation in the slope-intercept form is given to be:
[tex]y=mx+b[/tex]where m is the slope and b is the y-intercept.
The equation in the question is given to be:
[tex]4x+y=8[/tex]To get the slope and y-intercept, we just need to make y the subject of the equation. This we can do by subtracting 4x from both sides of the equation:
[tex]\begin{gathered} 4x+y-4x=8-4x \\ y=-4x+8 \end{gathered}[/tex]That is the equation in the slope-intercept form.
Therefore, the slope and y-intercept of the equation are given to be:
[tex]\begin{gathered} Slope\Rightarrow-4 \\ Y-Intercept\Rightarrow8 \end{gathered}[/tex]