Explanation:
We are told to find the equation of the line in slope-intercept form
Given that
[tex]4x+2y=8[/tex]To express in slope-intercept form: y = mx +c
Where
m =slope
c = y-intercept
Thus
We will have
[tex]\begin{gathered} Making\text{ y the subject} \\ 2y=-4x+8 \end{gathered}[/tex]Simplifying further
[tex]\begin{gathered} y=-\frac{4x}{2}+\frac{8}{2} \\ \\ y=-2x+4 \end{gathered}[/tex]Therefore, the equation of the line in the slope-intercept form will be y = -2x + 4