Question

complete the table and write an equation that represents it.
X Y
-1 1
0 3
1 5
2 7
3
4

Answer 1

you are missing something in your table (the 2 y values) .

Answer 2

you are supposed to fill them in.

Answer 3

notice the 2nd column are what kinds of numbers?

Answer 4

ohh.

Answer 5

i'm not sure @freckles . im not good at these problems. i have no clue what im doing lol

Answer 6

do you know what odd numbers are?

Answer 7

yes.

Answer 8

do you see that pattern for the second column?

Answer 9

so the next two would be 9 and 11?

Answer 10

yep yep :)

Answer 11

okay and then im not sure how to do the equation

Answer 12

anyways this is a linear equation
find the slope and the y-intercept
to find the slope take any of your two points and do
\[m=\frac{y_2-y_1}{x_2-x_1}\]
and then to find the y-intercept find what y is when x=0 (your tabled actually gives you this value)<--we will call this b

so once you find m and b plug into
y=mx+b

Answer 13

so one thing at a time
let's find the slope

Answer 14

which two points do you want to use
it will not matter
will will get the same slope no matter which two you choose

Answer 15

3 and 9

Answer 16

(3,9) is one point

Answer 17

we need one more more

Answer 18

1 and 5

Answer 19

ok cool
(3,9) and (1,5) are the two points you have chose and we will use

Answer 20

(3,9)
-(1,5)
----- <-subtract these points

Answer 21

9-5=?
3-1=?

Answer 22

4, 2

Answer 23

(3,9)-(1,5)=(2,4)
(2,4) will give us the slope if we do y/x=4/2=?

Answer 24

okay. im not sure how to do that.

Answer 25

4/2?

Answer 26

4/2=what

2*what=4

Answer 27

2

Answer 28

yes
you do know how to divide :)

Answer 29

y=mx+b
m is the slope and we just found it to be 2
so we have
y=2x+b

Answer 30

we still need to find b

Answer 31

this is easy though

Answer 32

because to find b (the y-intercept)
you just find what y is when x=0

Answer 33

look at your table

Answer 34

3?

Answer 35

look at the first column until you see x=0 and then go on that row to find what the y is that corresponds to that x=0
yes when x=0 we have y=3
3 is therefore b

Answer 36

so you have found your equation for this line y=2x+3

Answer 37

so that is my eqation?

Answer 38

equation*

Answer 39

yes

Answer 40

ok. thank you!

Answer 41

np
do you have any questions about this particular problem?

Answer 42

or on anything we did here?

Answer 43

no i understand now.

Answer 44

cool