Find the inequality represented by the graph?

The inequality is represented by the graph.

According to the figure, we have an inequation of the form , where is a linear function.

The linear function can be found by using the point-slope formula:

(1)

If we know that and , then the linear function is:

(1b)

The inequality is represented by the graph.

We kindly invite to check this question on inequalities: link

y > -2/3x + 3

Step-by-step explanation:

Well lets first start with the beginning and look at its features.

                                                          Features                                                          

- Dashed line

- Shaded up

- negative slope

- y intercept at 3

____________________________________________________________

So if the line is dashed with the shade going up that means the inequality starts like this,

y >

We can tell that the y intercept is at 3 because that the point the line touches the y axis.

So we got y > 3,

To find slope we use the following formula,

,

So we can use points (0,3) and (3,1).

1 is y2 and 3 is y1 so 1 - 3 = -2

3 - 0 = 3

Slope: -2/3x

Thus,

the inequality is y > -2/3x + 3.

Hope this helps :)