Question

Determine the type of boundary line and shading for the graph of the inequality -4x - y greater than or equal to -8

Answers:

Dashed line with shading on the side that includes the origin.

Solid line with shading on the side that does not include the origin.

Dashed line with shading on the side that does not include the origin.

Solid line with shading on the side that includes the origin.

Answer 1

sheldon will help

Answer 2

see i told you sheldon will help

Answer 3

It is useful to convert the form of the equation to the slope-intercept equation for a line:

y <= -4x + 8

Once you do that you will see a y-intercept at 8 and the slope going off to the left:
That's the line only in the graph. Since you have "<=" you will have SOLID line and now when you test the origin, the point (0, 0), you will see that it fulfills the requirements of the inequality, so the origin area is shaded.

Answer 4

so the answer is Solid line with shading on the side that includes the origin.

Answer 5

Yes, here's a fuller picture:

Answer 6

thanks so much :)

Answer 7

uw! Good luck to you in all of your studies and thx for the recognition! @InstagramDoll

Answer 8

:)