Question

Which linear inequality is represented by the graph?

Answer 1

The answer is C i think

Answer 2

Option A. is the correct answer.

Explanation:

To get the answer of this question we will find the equation of the line first.

Since line given in the graph passes through two points (0, -1.3) and (3, -0.3)

So slope m of the line will be

`m=(y-y')/(x-x')=(-1.3+1.3)/(0-3)`

=
`((-1))/((-3))=(1)/(3)`

and y-intercept C = (-1.3)

Therefore, equation of the line will be y =
`(1)/(3)`x - 1.3

Since its a graph of inequality in which shaded area is below the line and line is a solid line ( not in dotted form ) so notation between y and x variables will be ≤ ( less than equal to )

Now inequality is y ≤
`(1)/(3)`x - 1.3

Option A. is the correct answer.