Question

can SOMEONE pleese help me

Answer 1

do you know what mean linear function ?

Answer 2

How can you say that mathematically? Don't straight lines have a constant slope? Can you put the points in each data set into the equation for the slope to see if they equal the same slope?

Answer 3

With a linear equation, for the same change in x you get the same change in y.

Answer 4

Notice your x-coordinates.
In all 4 cases they are -8, 0, 8, 16.

Answer 5

Now look at the difference between each two consecutive x-coordinates:
0 - (-8) = 8
8 - 0 = 8
16 - 8 = 8
In each case, the difference between consecutive x-coordinates is 8.

Answer 6

Now let's look at A.
What are the difference between each two consecutive y-coordinates?
1 - 22 = -21
22 - 1 = 21
102 - 22 = 80
These three differences are all different, so A is not linear.

Answer 7

Now do the same with the y-coordinates of B, C, and D.
A linear relation will have to have all three differences in y equal since all three differences in x are equal.

Answer 8

B.
1 - (-7) =
9 - 1 =
2 - 9 =

C.
0 - (-7) =
7 - 0 =
14 - 7 =

D.
1 - (-7) =
5 - 1 =
4 - 5 =

Do all difference above.
The letter that has all equal differences is the linear relation.

Answer 9

If you are still confused just find the slopes for each pair and see if they are the same @asdfghjkl

Answer 10

Correct.