8. Choose the linear inequality that describes each graph.

A. y > – 3x + 5

B. y > – 5x – 3

C. y > – 5x + 3

D. y < – 5x + 3

y > -5x + 3

Step-by-step explanation:

y > –5x + 3

Step-by-step explanation:

we know that

1) The solution of the inequality is the shaded area above the dashed line

so

The linear inequality could be

y > –5x – 3

y > –5x + 3

y > –3x + 5

2) The slope of the dashed line is negative > the three options have slope negative

3) The y-intercept of the dashed line is (0,3)

therefore

The linear inequality is

y > –5x + 3

Step-by-step explanation:

To find the linear inequality , Let pick two points from the graph

Lets pick (0,3) and (1,-2)

Lets find out slope using the points

Slope m= -5

y intercept b= 3

Equation of the line is y=mx+b

Now we look at the shaded part. we use test point (0,0)

(0,0) is not in the shaded region

0 >3 is false

450 is the final answer! : )