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.

Answer 1

put it in this way:
y>-4x-6
so it's a line with slope -4 and y-intercept -6
since y is more than that, so it's the part of the plane that is up.
Sinc is strictly more, the line it self is not included.
With this you should be able to choose the right answer....

Answer 2

Thans :)