Respuesta :

Ok, so we know one point is (4,2) and the other is (-4, 0)

Slope: -2/-8 = 1/4

y ? 1/4x + b

0 = -1 + b

b = 1

y < 1/4x + 1

For the graph attached, the inequality in slope-intercept is y < 1/4x + 1.

What is the inequality in the slope-intercept of the given graph?

Given:

  • A graph is attached to the question.
  • The graph contains the point (-4,0) and (4,2).

Find:

  • The inequality in slope-intercept.

Solution:

The graph of a solution of inequalities shows all the solutions that make both inequalities true.

We can see an equal sign or the given inequality symbol.

So, we have observed that one point is (4,2) and the other point is (-4,0).

Now, the slope = [tex]m= \frac{y_{2}-y_{1} }{x_{2}-x_{1}} = \frac{0-2}{-4-4} =\frac{-2}{-8}[/tex]

                          [tex]m=\frac{1}{4}[/tex]

So, the slope-intercept form is:

y = mx+ b

[tex]y=\frac{1}{4}x+b[/tex]

Now, putting the value of x and y from point (-4,0), we get;

0=1/4*(-4)+b

b = 1

So, the y-intercept of the slope-intercept is 1.

Therefore, y < 1/4x + 1 is the inequality in slope-intercept.

To learn more about inequality in slope intercept, refer to:

https://brainly.com/question/1498673

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