Question

Sketch the graph of each linear inequality x-4y <_ 4

Answer 1

Given:

x - 4y ≤ 4

Rewrite the inequality using slope intercept form:

y = mx + b

Thus, we have:

4y ≤ -x + 4

Divide through by 4:

`\begin{gathered} (4y)/(4)\leq-(1x)/(4)+(4)/(4) \\ \\ y\text{ }\leq-(1)/(4)x+1 \end{gathered}`

The slope is -1/4 while the y intercept is 1

The graph of the linear inequality is below: