Question

Complete the function table.

y = -x + 1


Is this a proportional relationship?

Answer 1

is this a proportional relationship?
Well, you can tell it's NOT "Direct Variation" because it has a y-intercept that goes through other point than the origin (the (0,0) ).
However it is linear.

Answer 2

@SolomonZelman So it's not a proportional relationship and what's the answers in the graph so I can understand.

Answer 3

input rule output ordered pair
x=0 y=-(0)-1=-1 -1 (0, 1)
x=1 y=-(1)-1=-2 -2 (1, -2)
x=2 y=-(2)-1=-3 -3 (2, -3)

can you do x=3 ?

Answer 4

Hmm, is it.. "(3,-2)?

Answer 5

not really,\[y=\color{red} {-}(3)-1\]do you see your mistake?

Answer 6

Oh, I see. So is it "(-3, -1)?

Answer 7

no, the x coordinate is 3, because you are plugging x=3, the y coordinate is what?

Answer 8

\[\color{red} {y=-x-1}\]\[\color{red} {y=\color{blue} {-}(3)-1}\]\[\color{red} {y=\color{blue} {-}3-1}\]\[\color{red} {y=\color{blue} {-}4}\]

Answer 9

so it would be\[\huge\color{green}{\huge {\bbox[5pt,yellow,border:2px solid red]{3,~~~-4}}}\]

Answer 10

See how I plugged it in?

Answer 11

Yup.

Answer 12

Is it a proportional relationship?

Answer 13

proportional means direct, y=kx is proportional or direct, here it is a linear, but not a proportional.

Answer 14

So not?

Answer 15

Yes,
It is NOT proportional.

Answer 16

Thank you so much, this understands me now! (: