Question

Determine the type of boundary line and shading for the graph of the inequality 4x + y > -6.

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.

@Mertsj

Answer 1

y>-4x-6

Answer 2

Where does this line cross the y axis?

Answer 3

6, right?

Answer 4

-6

Answer 5

What is its slope?

Answer 6

-4?

Answer 7

yes

Answer 8

So could you make a sketch of the line?

Answer 9

I'll attempt to.

Answer 10

Ok. I'll make one also and we can see if we agree.

Answer 11

I forgot where to put -4 :/

Answer 12

It is the slope. Mark -6 on the y axis and from that point you need to rise -4 (which is down 4) and go right 1 and mark that point. Then draw the line and make it dotted.