Question

Which linear inequality is represented by the graph?

Answer 1

The correct answer to this question is C. y ≤
`(2)/(3)` +
`(1)/(5)` hope this helps

Answer 2

Option C.
`y\leq (2)/(3)x+(1)/(5)`

Explanation:

The given inequality represents a linear function on graph.

Since shaded part on the graph is below the line and the line is a solid line, the inequality will be represented by "y ≤ less than equal to"

As the line passes through two points (3, 2.2) and (0, 0.2)

Therefore slope of the line will be =
`(2.2-0.2)/(3-0)=(2)/(3)`

Now equation of the line passing through (0, 0.2) and slope of 2/3 will be

`y=(2)/(3)x+0.2=(2)/(3)x+(1)/(5)`

Now the inequality represented in the graph is
`y\leq (2)/(3)x+(1)/(5)`

Option C. is the answer.