Question

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?

Answer 1

Answer:

y ≥ -x - 4

Step-by-step explanation:

$\sf let (x_1,y_1)=(-4,0)\\\\let (x_2,y_2)=(0,-4)$

$\sf slope \ (m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-4-0}{0-(-4)}=-1$

Slope-point form of linear equation:

$\sf \implies y-y_1=m(x-x_1)$

$\sf \implies y-0=-1(x-(-4))$

$\sf \implies y=-x-4$

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:

$\sf y\geq -x-4$