Answer:
[tex]y\leq \frac{2}{3}x+\frac{1}{5}[/tex]
Step-by-step explanation:
step 1
Find the equation of the solid line
Find the slope
we have
(0,0.2) and (3,2.2)
[tex]m=(2.2-0.2)/(3-0)=\frac{2}{3}[/tex]
The y intercept b is equal to
[tex]b=0.2=\frac{2}{10}=\frac{1}{5}[/tex]
so
the equation of the solid line in slope intercept form is equal to
[tex]y=\frac{2}{3}x+\frac{1}{5}[/tex]
step 2
Find the equation of the inequality
we know that
The solution of the inequality is the shaded area below the solid line
therefore
[tex]y\leq \frac{2}{3}x+\frac{1}{5}[/tex]
