Graph (1, 2) slope =3

- anonymous

Graph (1, 2) slope =3

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- anonymous

I graphed (1, 2) but I have the slope -3 which way do I move in down or the right/left?

- anonymous

find x and y

- anonymous

The answer?

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- anonymous

first find x and y then you can find the answer...:)

- anonymous

How its not making any sense to me?

- anonymous

just find it please.

- yamyam70

(1,2) is the same as (x,y) right?

- yamyam70

where, x=1 ,y=2

- anonymous

Yea it is

- anonymous

yes,right.

- yamyam70

then the slope is three.

- anonymous

@hubbabubba , did you find that?

- yamyam70

make sense now? :)

- anonymous

Nope

- anonymous

@yamyam yes it does make sense but what if its negative which way do I move?

- anonymous

For negative slope, you want x and y to change in opposite directions.... so you either go UP and LEFT, or DOWN and RIGHT.

- anonymous

@DebbieG , said...

- anonymous

So either is right? @debbieG

- yamyam70

so when 3 is the slope , it is understood that 3 / 1 , move up three times move right 1 time , is this correct @PFEH.1999 ?

- anonymous

Right???

- anonymous

Thats wat I was thinking tho

- anonymous

yes.

- anonymous

but @DebbieG can help you better.

- anonymous

Actually theres soneone else wbo helped me and I really understood it perfectly.

- anonymous

Someone*

- DebbieG

Yes, @PFEH.1999 has it exactly.
You just need one other point.
You have x=1, y=2 and a slope of -3
So you can EITHER change y by +3 and x by -1
OR
change y by -3 and x by +1
Either will give you another point on the line.
x=1, y=2
Option 1 gives you x=0, y=5
Option 2 give you x=2, y=-1
Both are points on the line, you only need 1 of them but you can get either
Something like this:
one.|dw:1378568502217:dw|

- anonymous

Ok wat if the points are (-2,-3) and slope is undefined? And please one by one not together. I only listen to one person at a time

- anonymous

Wow nice way of explanation :D

- DebbieG

Do you know what kind of line has undefined slope? There is something "special" about a line with undefined slope.
As soon as you hear that the slope is undefined, you should think,
"Oh, well then this is a ________________ line!"
What goes in the blank? :)

- anonymous

Vertical?

- anonymous

remember!
tan90 = undefined

- DebbieG

Exactly! and a vertical line does NOT depend on the y-coordinate, only on the x-coordinate! So y is not involved in the equation for the line.
Instead, the line has equation:
x=a for some CONSTANT value of a. All you need to KNOW is the x-coordinate, because for ANY value of y, the point (a, y) is somewhere on the line.

- anonymous

|dw:1378568814110:dw|

- DebbieG

So if slope is undefined (meaning line is vertical)....
....and (-2,-3) is a point on the line.....
Then WHAT is the equation for this line?

- anonymous

Before I a swer ur question

- anonymous

Answer*

- anonymous

x = -2

- DebbieG

@PFEH.1999 , PLEASE don't bring trig into this, he already said that this is only algebra and I don't think he has had or needs to use trig. :) It will only confuse matters.

- anonymous

|dw:1378568966305:dw|

- anonymous

@DebbieG , ok ok but he said answer!

- anonymous

By the way im a SHE not a he

- DebbieG

lol sory @hubbabubba .... couldn't tell from the name. :)
OK, but @PFEH.1999 , I don't see where she said the answer, I was trying to GET her to the answer and you said the answer. Please don't do that.

- anonymous

And I never said answer @ PFEH.1999

- anonymous

Calm down please @ DebbieG

- anonymous

I was gonna ask a question

- anonymous

sorry!I thought she meant "answer"!

- anonymous

but the thing is "She now know it" !

- anonymous

I just wanna kno am I talking to both guys or one lady and one guy or both guys????

- anonymous

so @DebbieG , please calm down :)

- yamyam70

Peace in this site :)

- anonymous

Any suggestions? @yamyam70 other than peace

- DebbieG

lol really, I'm not "not calm"... I just think that the student learns better when you can lead them to figure out the answer. Only if that fails would I tell an answer and then work backwards to see if they can understand it, but I think she was on the verge of telling us the equation. :)
@hubbabubba I am female. I always thought that was obvious due to the name, but I've had people confused because of my profile pic, lol. Those are my sons. :)

- anonymous

Ok cool

- DebbieG

@yamyam70 , Peace.... yams... and math! :)

- yamyam70

:D

- anonymous

Go on help me im not staying whole day u kno

- anonymous

you're talking to one guy and one lady...
but i'm very sorry and I repeat:
the thing is"She now know it!"

- DebbieG

Yes, understood, no biggie. :) Just sharing my philosophy... :)

- anonymous

Ouch! Ok so ur a guy? @PFEH.1999

- anonymous

yes,any problem?:D

- anonymous

No

- anonymous

Ouch! Ok so ur a guy? @PFEH.1999

- anonymous

Can we all come back to the question now PLEASE

- anonymous

have a big problem : I can't explain anything simply .. so I won't come back :D

- anonymous

As u like :) thanx tho

- DebbieG

What do you still need to have explained, @hubbabubba ?
I said above:
So if slope is undefined (meaning line is vertical)....
....and (-2,-3) is a point on the line.....
Then WHAT is the equation for this line?

- anonymous

So undefined means nothing not zero right?

- DebbieG

And please don't be so demanding... saying things like "Go on help me im not staying whole day u kno" is not very polite.
Anyone here who is helping you is doing it on their own time, voluntarily, just to be helpful to a total stranger. I am trying to help you, in-between getting my kids lunch, getting ready for a birthday party later, and doing work for the math teaching job that I actually get a paycheck for. :) OK?

- anonymous

Im sorry I didnt mean it like that I apologize sincerely to u

- DebbieG

Yes, undefined means... "does not exist".
Think about why the slope is undefined for a vertical line... EVERY x coordinate is THE SAME, right?
So when you try to use the slope formula:
\[\Large m=\frac{ y_1-y_2 }{x_1-x_2 }\]
...just look at what will happen in that denominator?
\(\Large x_1=x_2 \)
Since all the x's on a vertical line are the same, so you get division by 0, so undefined.

- anonymous

Ok right

- DebbieG

Apology accepted. :)
Now, notice that undefined slope is different from slope=0. Another "special" kindof line has m=0. That's when you get a 0 in the NUMERATOR of the slope formula:
\[\Large m=\frac{ y_1-y_2 }{x_1-x_2 }\]
which happens when \(\Large y_1=y_2\)
which is true when all of the y-coordinates are the same, which is true when the line is HORIZONTAL.

- DebbieG

So slope undefined means:
- line is vertical
- all the x's on the line are the same
- the equation doesn't involve y, because it doesn't matter what y is, all the x's are the same
- every point on the line is of the form (a, y) for some constant a and ANY value of y
So, e.g., if (-5,7) is on a line with undefined slope, then that is a vertical line with equation:
x=-5
Slope=0 means:
- line is horizontal
- all the y's on the line are the same
- the equation doesn't involve x, because it doesn't matter what x is, all the y's are the same
- every point on the line is of the form (x, b) for some constant b and ANY value of x
So, e.g., if (-5,7) is on a line with slope=0, then that is a horizontal line with equation:
y=7

- DebbieG

So for YOUR line:
slope is undefined
(-2,-3) is a point on the line.....
so... WHAT is the equation for this line?

- anonymous

Undefined= y2 - (-3)/ x2 - (-2) right?

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