The given equation is,
[tex]\frac{1}{4}x+2y=2[/tex]
It can be rewritten in the form of y=mx+c, where c is the y intercept.
Hence,
[tex]\begin{gathered} 2y=-\frac{1}{4}x+2 \\ y=\frac{-1}{4\times2}x+\frac{2}{2} \\ y=\frac{-1}{8}x+1 \end{gathered}[/tex]
Put different values for x and find value of y.
When x=0, y=1.
When x=1,
[tex]y=\frac{-1}{8}+1=\frac{7}{8}[/tex]
The graph is,
