Can someone help me to see if I got this right ?

- teller

Can someone help me to see if I got this right ?

- Stacey Warren - Expert brainly.com

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- katieb

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- jim_thompson5910

what's your question?

- teller

##### 1 Attachment

- teller

I just posted it

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## More answers

- jim_thompson5910

ok one moment

- teller

The help video they just gave me doesn't even tell us how to even do that kind problem it's everything else but those kind of problems

- teller

I know it's going to be 1 but I can't just put 1

- jim_thompson5910

are you familiar with finding the slope?

- teller

Not asking for the slope though and no.

- jim_thompson5910

well with finding any linear function, you find the slope first

- jim_thompson5910

all linear equations are in the form y = mx+b
m = slope
b = y intercept

- teller

See the video didn't say that...

- jim_thompson5910

what is the video saying (summarize it the best you can)

- teller

It was in the help section when I clicked it and it's input output tables and she just shows you how to find the missing numbers nothing about what in my work this is the video https://www.youtube.com/watch?v=y_aaOS6Q2qo

- jim_thompson5910

ok let me watch it

- teller

Frustrates me that they play students like this .They link a video and it's nothing on the problems about how to find N or anything like that ...

- jim_thompson5910

A big vague how she says "the rule is 3" at 41 seconds

- teller

Yea but when I do what she does it tells me I'm wrong on almost every single one I have to use those signs that you see on the right hand side of the picture.

- jim_thompson5910

ok so the video doesn't help with finding the nth term

- teller

That's what I said lol

- jim_thompson5910

yeah I'm just confirming. Anyways, as the inputs increase by 1, what's going on with the outputs?

- teller

its decreasing

- jim_thompson5910

by how much?

- teller

By 1 so the answer is going to be 1

- teller

I want to put 1-n-1 but I can't or 1xn-1

- jim_thompson5910

the x values (the inputs) are increasing by 1
the y values (the outputs) are decreasing by 1 (so we say -1)
the slope is equal to the change in y over the change in x
\[\Large \text{Slope} = \frac{\text{change in y}}{\text{change in x}}\]
\[\Large \text{Slope} = \frac{-1}{1}\]
\[\Large \text{Slope} = -1\]
make sense?

- teller

so it would be -1 over 1?

- jim_thompson5910

yes which reduces to -1

- teller

so the final answer is -1 over 1 - 1? or just -1 over 1

- jim_thompson5910

-1 is just part of the answer

- jim_thompson5910

m = -1 is our slope. It tells us how things are changing

- jim_thompson5910

pick any pair of input and output values
say x = 1 and y = 5
we will plug m = -1, x = 1 and y = 5 into y = mx+b and solve for b

- jim_thompson5910

y = mx+b
y = -1*x+b ... replace m with -1
y = -1*1+b ... replace x with 1
5 = -1*1+b ... replace y with 5
now solve for b

- teller

6?

- jim_thompson5910

yep

- jim_thompson5910

m = -1 and b = 6
so y = mx+b turns into y = -1*x + 6 which is simplified to y = -x+6

- jim_thompson5910

now if you replace the x with n (changing variables is perfectly valid)
we go from `-x+6` to `-n+6`

- teller

so the final answer is -n+6?

- jim_thompson5910

so the nth term is `-n+6`
example: replace n with 4 and you'll get
`-n+6=-4+6 = 2` which is exactly the output for the input of 4

- jim_thompson5910

correct

- teller

Thank you!

- jim_thompson5910

you're welcome

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