Question

Find the inequality represented by the graph?

Answer 1

Answer:

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

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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,

$\frac{y^2-y^1}{x^2-x^1}$,

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 :)

Answer 2

The inequality $y > -\frac{2}{3}\cdot x + 3$ is represented by the graph.

According to the figure, we have an inequation of the form $y > f(x)$, where $f(x)$ is a linear function.

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

$y-y_{1} = \left(\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\right)\cdot (x-x_{1})$ (1)

If we know that $(x_{1}, y_{1}) = (0, 3)$ and $(x_{2}, y_{2}) = (3, 1)$, then the linear function is:

$y -3 = \left(\frac{1-3}{3-0} \right)\cdot x$

$y = -\frac{2}{3}\cdot x+3$ (1b)

The inequality $y > -\frac{2}{3}\cdot x + 3$ is represented by the graph.

We kindly invite to check this question on inequalities: https://brainly.com/question/15137133