Answer:
[tex]y\leq \frac{1}{2}x+2[/tex]
Step-by-step explanation:
we know that
The solution of the inequality is the shaded area below the solid line (the inequality is of the form [tex]y\leq mx+b[/tex])
The y-intercept of the solid line is (0,2)
The x-intercept of the solid line is (-4,0)
The slope of the solid line is
[tex]m=(0-2)/(-4-0)=\frac{1}{2}[/tex]
The equation of the solid line is [tex]y=\frac{1}{2}x+2[/tex]
therefore
The linear inequality represented by the graph is
[tex]y\leq \frac{1}{2}x+2[/tex]
