Given:
x - 4y ≤ 4
Rewrite the inequality using slope intercept form:
y = mx + b
Thus, we have:
4y ≤ -x + 4
Divide through by 4:
[tex]\begin{gathered} \frac{4y}{4}\leq-\frac{1x}{4}+\frac{4}{4} \\ \\ y\text{ }\leq-\frac{1}{4}x+1 \end{gathered}[/tex]
The slope is -1/4 while the y intercept is 1
The graph of the linear inequality is below:
