Question

Which table shows a linear function?

Answer 1

Did you calculate the slopes? The linear function is the one with constant slope.

Answer 2

I havent in the least idea how to do that

Answer 3

change in y values divided by change in x values

Answer 4

but like how

Answer 5

In the first table the first two ordered pairs are: (-5,-4) and (-3,-3). Are you with me on that?

Answer 6

okay okay i got that much so far yes

Answer 7

In those ordered pairs, the y values are -4 and -3. Right?

Answer 8

yes indeed

Answer 9

So the change in y is 1 unit which can be calculated by -3-(-4)=1. Right?

Answer 10

i suppose i mean i dont get that last part but okay

Answer 11

i mean i can see that it changes by one unit but whats with the calculation

Answer 12

if you had a job and were making $5.18 an hour and then you got a raise and were making $6.73 an hour and you wanted to know what the change is would you not calculate that by doing 6.73- 5.18 ?

Answer 13

true true very true

Answer 14

If one y value is -4 and it changes to -3 would you not calculate that change by doing: -3-(-4)?

Answer 15

i would most certainly do that using that equation so yes

Answer 16

Similarly you can calculate how much x changes when it goes from -5 to -3 by doing: -3-(-5). How much does x change?

Answer 17

by 2?

Answer 18

And so to find the slope, you take the change in y which we now know is 1 and divided it by the change in x which we now know is 2 and so the slope is 1/2

Answer 19

Now to show that the slope is everywhere the same, we must consider the next two ordered pairs which are (-3,-3) and (-1,-2). Calculate the slope between those two points.

Answer 20

Sorry. That had a typo so I deleted it.

Answer 21

okay oh boy um.... -2, -1?

Answer 22

The y value went from -3 to -2 didn't it?

Answer 23

yas indeed

Answer 24

What is -2 minus -3?

Answer 25

1

Answer 26

The x value went from -3 to -1. What is -1 minus -3?

Answer 27

2

Answer 28

Yes. Now what is the change in y?

Answer 29

1

Answer 30

And the change in x?

Answer 31

2

Answer 32

And the change in y divided by the change in x is what?

Answer 33

umm 1/2?

Answer 34

Yes. So far, the slope is constant. Let's move on to the next two ordered pairs: (-1,-2) and (1,2). What is the change in y?

Answer 35

-4

Answer 36

2 minus -2 = ???

Answer 37

oh i see its 4

Answer 38

Now calculate the change in x.

Answer 39

2

Answer 40

And the change in y divided by the change in x is???

Answer 41

2

Answer 42

Well then. These ordered pairs cannot be in a line or the slopes would all be the same so we should move onto the next table and check out those ordered pairs.

Answer 43

alrighty then

Answer 44

(-4,3) and (-3,0)

Answer 45

Find the change in y and then the change in x.

Answer 46

-7 then 3 i think

Answer 47

The first y value is 3. The second y value is 0. And 0 minus 3 is -3

Answer 48

i thought zero idk why i put 3 lol

Answer 49

The first x value is -4 and the second x value is -3. -3 minus -4 is 1

Answer 50

1

Answer 51

So the slope is -3/1 or simply -3.

Answer 52

i see

Answer 53

hey i have to go now but you know what thank you for the help you did give me really it makes more sense now thank you

Answer 54

Now do the next two ordered pairs which are: (-3,0) and (-2,-1)