Question

The parabola below is a graph of the equation, -y+x=6. Which of the points satisfy the inequality, -y+x ≤ -6 ? Check all that apply.

http://s30.postimg.org/9r60yxwep/b3982fbd_4c28_4a91_ac18_125f3d4305a3.jpg

Answer 1

Please explain who to do it. There has to be a faster way than plugging in every point.

Answer 2

the equation -y+x=6 is not a parabola. if you ignore that, then just look at your inequality which is also not a parabola. It is linear and you can rewrite it: -y+x≤-6 --> -y≤-6-x --> y≥6+x so which point(s) are above the line of y=6+x?