Respuesta :

Answer:

y ≤ 3x- 1

Step-by-step explanation:

The line is solid, so your answer must have a ≤ or ≥ symbol. And the area below the line is shaded so you would also know you answer must have a ≤ or < symbol.

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].