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Enter the correct answer in the box. Write your answer in the form y - mx + b, using the appropriate inequality symbol in place of
the equal sign.
What inequality is shown in the graph?

Enter the correct answer in the box Write your answer in the form y mx b using the appropriate inequality symbol in place of the equal sign What inequality is s class=

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linandrew41

Hello and Welcome to Brainly!

Let's take this problem step-by-step:

The problem wants the final answer to be in the form ⇒ y = mx + b

  • m ⇒ value of the slope
  • b ⇒ y-intercept

Let's find both of these values first

  • [tex]slope = \frac{y_2-y_1}{x_2-x_1}[/tex]

            (x₁,y₁), (x₂,y₂) are any two points on the line

                 ⇒ let's use (-4,0) and (0,-4)

                      [tex]Slope = \frac{-4-0}{0--4} =\frac{-4}{4} =-1[/tex]

  • the y-intercept is any coordinate whose x-coordinate equals '0'

           ⇒, therefore, the y-intercept is -4

Our equation as of now: y __ -x - 4

Now let's use some points to test:

  ⇒ what way inequality should face:

  • test with (0,0) (within the shaded region)

       [tex]0 _._._. -(0) - 4\\0 _._._. -4\\0 \geq -4[/tex]

Therefore our equation is [tex]y\geq -x-4[/tex]

  * we use '≤' since the line is solid

        ⇒ if the line were dotted, we would use '>'

Answer: y ≥ -x - 4

Hope that helps!

#LearnwithBrainly

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