Write an inequality to represent each graph, show your work

Problem B
Looking at the graph
The solution is the shaded area below the solid line
the inequality is of the form
[tex]y\leq mx+b[/tex]so
Find out the equation of the solid line
we need two points
(0,-3) and (1,0)
Find out the slope
m=(0+3)/(1-0)
m=3
we have
b=-3 (y-intercept)
substitute
y=3x-3
therefore
the inequality is
[tex]y\leq3x-3[/tex]