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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=
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=

Respuesta :

semsee45

Answer:

y ≥ -x - 4

Step-by-step explanation:

[tex]\sf let (x_1,y_1)=(-4,0)\\\\let (x_2,y_2)=(0,-4)[/tex]

[tex]\sf slope \ (m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-4-0}{0-(-4)}=-1[/tex]

Slope-point form of linear equation:

[tex]\sf \implies y-y_1=m(x-x_1)[/tex]

[tex]\sf \implies y-0=-1(x-(-4))[/tex]

[tex]\sf \implies y=-x-4[/tex]

For ≤ or ≥ graph a solid line

For < or > graph a dashed line

For shading above the line: y ≥ or y >

For shading below the line:  y ≤ or y <

Therefore, as the line is solid and shading is above the line:

[tex]\sf y\geq -x-4[/tex]

Answer:

y ≥ -x - 4

Step-by-step explanation:

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