Question

Which linear inequality is represented by the graph?

Answer 1

Answer:

c,y>2/3x-1/5

Step-by-step explanation:

Answer 2

Answer:

$y\leq \frac{2}{3}x+\frac{1}{5}$

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)

$m=(2.2-0.2)/(3-0)=\frac{2}{3}$

The y intercept b is equal to

$b=0.2=\frac{2}{10}=\frac{1}{5}$

so

the equation of the solid line  in slope intercept form is equal to

$y=\frac{2}{3}x+\frac{1}{5}$

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

$y\leq \frac{2}{3}x+\frac{1}{5}$