The given function is
[tex]g(x)=\frac{1}{4}x+4[/tex]First, we make x = 0.
[tex]g(0)=\frac{1}{4}\cdot0+4=0+4=4[/tex]Second, we make g(x) = 0.
[tex]\begin{gathered} 0=\frac{1}{4}x+4 \\ -4=\frac{1}{4}x \\ x=-16 \end{gathered}[/tex]Third, we graph the points (0, 4) and (-16, 0).
At last, we draw the line through the points to get the line.