Finding the average rate of change for this question?

- anonymous

Finding the average rate of change for this question?

- jamiebookeater

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- anonymous

I got a table in this lesson with 3 valules (0,2) (1,-1) and (2, -6). How do I find the average rate of change from x=0 to x=2?

- Nnesha

average rate of change = slope
formula to find slope is \[\huge\rm \frac{ y_2 -y_1 }{ x_2 -x_1 }\]
plugin x and y values
when x =0 y = ?
when x=2 y = ?

- anonymous

I have 3 points on in the table they gave me... Which are those above. Which ones do I use?

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## More answers

- Nnesha

` from x=0 to x=2`
use the order where x = 0 and x=2

- anonymous

So the (0,2) and (2,-6)?

- Nnesha

pair***

- Nnesha

yes right :=)

- anonymous

Alright...

- anonymous

y2-y1
_____
x2-x1
-1-2
____
2-0
1
_
2
=
0.5?

- Nnesha

|dw:1444480522990:dw|

- anonymous

Erm. That doesn't seem right.

- anonymous

oh.
Oops. Forgot my -6... Somehow.

- Nnesha

hmmm y_2 means 2nd y value

- Nnesha

ye

- anonymous

Lemme redo it.

- Nnesha

ok

- anonymous

y2-y1
_____
x2-x1
-6-1
____
2-0
-7
_
2
=
3.5

- anonymous

.......I keep noticing my mistakes.... Why dont I just look before I post lol

- Nnesha

that's fine we learn from mistakes :=)

- anonymous

Lol that would be true. Though, I'd rather not make mistakes and just get it right the first time. XD

- anonymous

y2-y1
_____
x2-x1
-6-2
____
2-0
-4
_
2
=
-2

- anonymous

There. That seems like the answer.

- Nnesha

-6-2 == ????

- anonymous

I thought it was a postitive 2? Oh... I wasn't adding. Then the answer is 4.

- anonymous

*-4.

- Nnesha

|dw:1444480927636:dw|
-6-2 isn't equal to -4
signs are the same we should add them

- Nnesha

\(\color{blue}{\text{Originally Posted by}}\) @BetterOffLearningThenNot
y2-y1
_____
x2-x1
-6-2
____
2-0
-4
_
2
=
-2
\(\color{blue}{\text{End of Quote}}\)
see it's -6-2 which is correct

- anonymous

Yeah, but its not like we're multipling and we get a postitive 4. I'm not sure what you're getting at.

- Nnesha

do you mean final answer 4 ??

- anonymous

Well, I think I made and mistake and later found it was -4 rather than 4. Is that correct?

- anonymous

....If i'm going through the process right.

- Nnesha

yes right -6-2=-8 divided by 2 =- 4 :=)
i thought u were saying -6-2 = 4 :D

- anonymous

Lol, okay! Thank you for your help! :D

- Nnesha

np, good work!

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