Answer:
[tex]y\leq 3x-1[/tex].
Step-by-step explanation:
The graph is a straight line, so its formula is [tex]y = ax+b[/tex].
You can easily see that two points [tex](0, -1)[/tex] and [tex](1, 2)[/tex] belong to the line. Therefore, we have a system of equations:
[tex]\left \{ {{0a+b=-1} \atop {1a+b=2}} \right.[/tex]
By solving it we have:
[tex]\left \{ {{a=3} \atop {b=-1}} \right.[/tex]
So the line is [tex]y=3x-1[/tex].
The purple region is below the line (including the line), so we choose the answer [tex]y \leq 3x-1[/tex].
