Question

Explain how to write a function rule from the table, then write a function rule based off of the data of the table. (Will medal and fan) @nopen

Answer 1

ok thats the question

Answer 2

Alright
you've been give 3 coordinates

Answer 3

what are they?

Answer 4

@samsteronbroadway ?

Answer 5

The coordinates are (2,1) (4,0) (6, -1) @nopen

Answer 6

very good

Answer 7

now you need to find the difference between the x(s)

take 1 x values and subtract it from the the x value in front of it

Answer 8

?

Answer 9

so like 1 x 2?

Answer 10

no no

okay what are the x values in this table?

Answer 11

2,4,6

Answer 12

correct now what I am saying

is take a x value (for example 2 in our case and subtract that 2 from the x value in FRONT of it

Answer 13

there's nothing in front of it? unless I'm opposite and it's 4. In that case it'd be -2

Answer 14

okay when I say 'subtract from' it means, subtract 2 FROM 4, which looks like this:

4-2 = 2

:)

Answer 15

Oh pahaha. Oops sorry I've been working on this for like hours so I'm a little brain dead. Thank you haha

Answer 16

Okay so now what? :)

Answer 17

it's okay
now do that with 4 and 6 (remember take the x value and subtract that FROM the x value in front of it)

Answer 18

6 - 4 which is 2 again.

Answer 19

so what this mean? two is a constant number right?

Answer 20

For the x yes.

Answer 21

okay good

Answer 22

now I want to introduce a little equation to you (lol don't get scared it's pretty simple)

the equation is \[y = mx + c\]

where the y is just the y value and c is just a number and the mx is our gradient

Answer 23

I thought it was y=mx+b?

Answer 24

the b or the c doesn't really matter as long as there is a alphabet

it's just math's way of saying that "hey there is gonna be a number here"

Answer 25

so you do know that gradient is constant in a straight line right?

Answer 26

I guess? I thought the m was slope and the b was where the y intercepts. That's what I've learned.. but when I tried to do it it wasn't right.

Answer 27

no what you know is correct

m IS the slop. Slop and gradient means the same thing

Answer 28

Okay, :) but I got -2..somehow..and it didn't work because when I looked up the graph it wasn't the same points as what I had.

Answer 29

change in y divided by change in x is gonna give you the gradient