Write the linear inequality shown in the graph.The gray area represents the shaded region.

Answer:
[tex]y\geq 3x-4[/tex]
Step-by-step explanation:
First we find the equation for the graph line y=mx+b
where m is the slope and b is the y intercept
LEts pick two points from the line
(0,-4) and (2,2)
y intercept is -4 , the value of b= -4
to find slope m we use formula
[tex]m=\frac{y_2-y_1}{x_2-x_1} =\frac{-4-2}{0-2} =3[/tex]
m=3 and b= -4
EQuation of a line is [tex]y=3x-4[/tex]
Now we write the inequality, we use test point 0,0 that is in shaded region
LEts plug in 0 for x and 0 for y
[tex]y=3x-4[/tex]
[tex]0=0-4[/tex]
0=-4
0>=-4 is true
So we use >= symbol
[tex]y\geq 3x-4[/tex]