Question

Find the function rule.
x –2 –1 0 1 2
y 9 4 –1 –6 –11

Answer 1

the x's are moving up by unit each time
so look at the y's and see what the common difference is
you have an arithmetic sequence

Answer 2

but you don't know to know that term if you don't already

Answer 3

you have a line
find the slope
and the y-intercept

Answer 4

?

Answer 5

what does ? mean

Answer 6

like what do you have a question on?

Answer 7

the slope
or
the y-intercept?

Answer 8

how do i do it

Answer 9

the slope formula is change of y/change of x
the y-intercept is given (0,b) <---so what is b here?

Answer 10

when x=0, y=?
look at your table

Answer 11

It might be helpful to think of it in terms of patterns. What's the pattern? What happens to y each time we go up by one?

Answer 12

i still dont understand

Answer 13

do you know how to read the table?

Answer 14

it says the following points are on the line:
(-2,9)
(-1,4)
(0,-1)
(1,-6)
(2,-11)

Answer 15

I was asking you to tell me what y is when x=0

Answer 16

the things I listed above are in the form (x,y)

Answer 17

do you identify the ordered pair that has 0 as its first coordinate ?

Answer 18

ok let's go back to the first thing I mentioned
do you notice a common difference amongst the y values given
like compare
9-4=?
4-(-1)=?
-1-(-6)=?
(-6)-(-11)=?

Answer 19

5

Answer 20

right that is the slope number
y=5x+b
now you just need to say what b is
which is the y-intercept
are you still not able to determine which pair (x,y) in the list below
(-2,9)
(-1,4)
(0,-1)
(1,-6)
(2,-11)
has 0 as the first coordinate?

Answer 21

and should be y=-5x+b
since the y values are decreasing

Answer 22

but anyways look at the list of coordinates I just gave you
it should be easy to tell which is of the form (0,b)

Answer 23

is it 0 -1

Answer 24

yes when x=0 y=-1

Answer 25

So b=-1

Answer 26

you have your function rule now

Answer 27

Thank you so much!!!!!

Answer 28

by the way can you tell me what it is
just to be sure you know what it is

Answer 29

is this what it should it look like this y=-5x+ -1

Answer 30

that is right
or you can write it as y=-5x-1

Answer 31

either way

Answer 32

thx