SOLUTION
We want to graph the inequality
[tex]4x+y\ge0[/tex]
This becomes
The shaded region is known as the required region and contains the solution set for the inequality
Coordinates we can see from the shaded region are
[tex]\begin{gathered} (2,2) \\ (4,4) \\ (4,6) \\ (6,2) \\ (6,4) \end{gathered}[/tex]
To make the line, pick two points at
[tex](-1,4)\text{ and }(1,-4)[/tex]
Then join the points with a straight-line and shade the area above the line.
