Question

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

Answer 1

`y < (1)/(3)x-2\\\\y=(1)/(3)x-2\\\\for\ x=0\to y=(1)/(3)\cdot0-2=-2\to(0;-2)\\\\for\ x=6\to y=(1)/(3)\cdot6-2=2-2=0\to(6;\ 0)`

Answer 2

The graph in the attached figure

Explanation:

we have

`y< (1)/(3)x-2`

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

The equation of the line is
`y= (1)/(3)x-2`

The slope of the line is positive
`m= (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