Question

Write an inequality for the given graph.

Answer 1

Answer:

$y$

Step-by-step explanation:

Find the equation of the dashed line

The line pass through the points

$A(0,-3)$ -----> is the y-intercept of the line

$B(6,0)$

Find the slope of the line m

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the values

$m=\frac{0+3}{6-0}=0.5$

Remember that

The equation of the line into slope intercept form is equal to

$y=mx+b$

we have

$m=0.5$

$b=-3$  

substitute

$y=0.5x-3$

Find the inequality

we know that

The solution of the inequality is the shaded area below the dashed line

so

$y$