Question

Which inequality can be represented by the graph below ?

Answer 1

Answer:

Option F. $y\geq x+b$

Step-by-step explanation:

we know that

The solution of the inequality of the graph is the shaded area above the solid line

step 1

Find the equation of the solid line

The intercepts are

The y-intercept is the point (0,b)

The x-intercept is the point (-b,0)

Find the slope

$m=\frac{b-0}{0+b} =1$

The equation of the solid line is

$y=x+b$

step 2

The solution of the inequality is the shaded area above the solid line

therefore

the inequality is equal to

$y\geq x+b$