I Need Help With This Question
What Is The Graph Of The Function Rule?
y = x + 1

- anonymous

I Need Help With This Question
What Is The Graph Of The Function Rule?
y = x + 1

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- katieb

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- tkhunny

A line?

- anonymous

@tkhunny I have no clue

- anonymous

that's the question I don't no how to do the problem

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- tkhunny

We are going to need a better question. There don't appear to be any instructions. Shall we graph it? Talk about it? Buy it roses and take it to the prom? What?

- anonymous

lol!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! #DEAD

- anonymous

BUT I THINK IM POST TO GRAPH IT THO

- tkhunny

We can graph it.
Have you met the term "Slope-Intercept Form"? You may have seen an example like this, "y = mx + b".

- anonymous

YES

- tkhunny

Excellent.
We have this: y = x+1
This is already in slope-intercept form.
m = 1 (the invisible coefficient on the x)
b = 1 (the constant term)
Agreed?

- anonymous

AGREED

- tkhunny

The y-intercept is 1, making a point on the graph, (0,1). Plot this point and we are well on our way.

- anonymous

So I just the graph and plot (0,1)?

- tkhunny

That's where we start on this one. The slope-intercept form gives us that y-intercept. We stll need more information. That's just the place to start.

- anonymous

ok ive graphed it

- tkhunny

Now we need the slope. In this case, m = 1. A slope of 1.
"Slope" is an odd sort of thing. You do have to get used to it a little. You may have heard "rise over run" or "change in y divided by change in x". These are good descriptions, but a little abstract.
I prefer to think of it in two pieces...
1) You PROMISE to move 1 space in the positive x direction.
2) How far in the positive y direction shall I move?
It is the agreement in #2 that is the slope. x always moves 1 and y always moves "the slope".
With a slope of 1, this means as always, x moves one to the right and y moves 1 (the slope) up. This should bring us to the point (1,2) -- one right and slope up.

- anonymous

so I graph (1,2)?

- tkhunny

That's where the slope took us from (0,1). +1 for x and +Slope for y.
Then we're done. Two points determine a line, so get a really long ruler, connect the dots, and extend the line as far as you can in both directions.

- anonymous

so I was doing something but im back

- anonymous

ok so let me get this straight I stayed on the line because of the "0" and I went up "1" and put my dot then now I stay on the line and I go over "1" and up "2"? @tkhunny

- tkhunny

y-intercept of 1 says start at (0,1)
Slope of 1 says move to (0+1,1+Slope) = (1,2)

- anonymous

so Im right? there should be two dots connecting and a long line?

- tkhunny

I'm nervous about this:
" go over "1" and up "2""
You should go over 1 and up 1 (the slope) and this should get you to (1,2). So, you MAY be saying the right thing. I just can't tell.

- anonymous

but I graphed the the (0,1) already?????????????

- tkhunny

What's fine. What other point did you graph, based on what the slope told you to do?

- anonymous

(0,1) & (1,2) ???????? and got two dots and straight line?

- tkhunny

Those are the right two points. Please draw a line through them and be done!

- anonymous

ok perfect but one quick question where and why did I have to go over 2?

- anonymous

@tkhunny ^^^

- tkhunny

I never said that. That's why I made you repeat it when you said it. It was incorrect. The slope is 1. This means x moves 1 and y moves 1. No 2.

- anonymous

so what the correct graphing?

- tkhunny

You MUST pay better attention. This is the third time we have concluded this problem.
The y-intercept say plot (0,1).
The slope says plot (1,2)
This defines the line to graph. Connect the two points and you are done.

- anonymous

are u changing the x into the number one and adding it? because the problem only gave the number 1 and I have already graphed it that way I just want to make sure this sticks in my head @tkhunny

- tkhunny

I do not know what else to tell you. There are only three pieces. They are clearly defined in my last post.

- anonymous

got ya thanks for the help

- anonymous

@tkhunny I got the problem down but I really need help with this next one

- tkhunny

If it's in slope-intercept form, yo uneed to show me ALL of the contrsuction. Name the three pieces.

- anonymous

it isn't in slop-intercept form @tkhunny

- anonymous

I bumped it up to the top @tkhunny

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