Question

Which shows the graph of the solution set of y < 1/3 x – 2?

Answer 1

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

$y< \frac{1}{3}x-2$

The solution of the inequality is the shaded area below the dashed line

The equation of the line is $y= \frac{1}{3}x-2$

The slope of the line is positive $m= \frac{1}{3}$

The y-intercept of the line is the point $(0,-2)$

The x-intercept of the line is the point $(6,0)$

so

The graph in the attached figure

Answer 2

$y < \dfrac{1}{3}x-2\\\\y=\dfrac{1}{3}x-2\\\\for\ x=0\to y=\dfrac{1}{3}\cdot0-2=-2\to(0;-2)\\\\for\ x=6\to y=\dfrac{1}{3}\cdot6-2=2-2=0\to(6;\ 0)$