Question

Which graph best represents the following inequality? y<=-5/6x+2/3

Answer 1

The graph in the attached figure

Explanation:

we have

`y\leq -(5)/(6)x+(2)/(3)`

we know that

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

`y=-(5)/(6)x+(2)/(3)`

The slope of the solid line is negative
`m=-(5)/(6)`

The y-intercept of the solid line is
`(0,(2)/(3))`

The x-intercept of the solid line is
`((4)/(5),0)`

using a graphing tool

Plot the intercepts, join the points and shaded the area below the solid line

The graph in the attached figure