Determine the type of boundary line and shading for the graph of the inequality -3x + y 6.

Question

Determine the type of boundary line and shading for the graph of the inequality -3x + y > 6.

anonymous · Answer

@Hero

anonymous · Answer

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.

anonymous · Answer

I know its a solid line but i dont know how to figure out if it includes the origin

hero · Answer

Now why do you think it is a solid line?

anonymous · Answer

whoops! meant i know its dashed sorry

hero · Answer

Okay, so I helped you eliminate two of the answers.

anonymous · Answer

but how do I figure out if it includes the origin

hero · Answer

By substituting the point (x,y) = (0,0) into y > 6 + 3x:

0 > 6 + 3(0)

Finish the rest

anonymous · Answer

0>6

anonymous · Answer

so it includes the origin
?

hero · Answer

Now is 0 > 6 true or false?

anonymous · Answer

false so it doesnt include

anonymous · Answer

yes! thanks so much!!

hero · Answer

Easy stuff bro