First, we determine the x and y-intercepts.
x-intercept
[tex]\begin{gathered} \text{When y=0} \\ x+4y=8 \\ x+4(0)=8 \\ x=8 \\ We\text{ have the point: (8,0)} \end{gathered}[/tex]
y-intercept
[tex]\begin{gathered} \text{When x=0} \\ x+4y=8 \\ 0+4y=8 \\ 4y=8 \\ y=\frac{8}{4}=2 \\ We\text{ have the point: (0,2)} \end{gathered}[/tex]
Next, we sketch the graph of x + 4y = 8.
