which linear inequality is represented by the graph?\n○ $y>\frac{2}{3}x - \frac{1}{5}$\n○ $ygeq\frac{3}{2}x+\…

Explanation:

Step1: Find the slope ($m$)

The slope - formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Using the points $(0,0.2)$ and $(3,2.2)$, we have $m=\frac{2.2 - 0.2}{3-0}=\frac{2}{3}$.

Step2: Find the y - intercept ($b$)

The line crosses the y - axis at the point $(0,0.2)$, so $b = 0.2=\frac{1}{5}$.

Step3: Determine the inequality sign

The line is solid, so the inequality is either $\leq$ or $\geq$. The shaded region is below the line, so the inequality is $y\leq$.

Step4: Write the linear inequality

The equation of the line in slope - intercept form is $y = mx + b$. Substituting $m=\frac{2}{3}$ and $b=\frac{1}{5}$, the linear inequality is $y\leq\frac{2}{3}x+\frac{1}{5}$.

Answer:

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