Can anyone has proof for slope-intercept form(y=mx+b)

- anonymous

Can anyone has proof for slope-intercept form(y=mx+b)

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- anonymous

@waterineyes @radar @experimentX @ajprincess @surdawi

- anonymous

@Yahoo! @ganeshie8 @TuringTest @Zarkon

- anonymous

urgent!!! i have a seminar plzz

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## More answers

- anonymous

@hartnn @hba plzz help

- hartnn

its just a form of equation of line....it cannot have a proof....but other forms can be converted to this form y=mx+b using some arithmetic.

- hartnn

and i am not typing...
ha ha ha ..

- anonymous

y=mx+b is a equation of a line or slope intercept form??

- hartnn

y=,x+c is the slope intercept form of equation of line...

- anonymous

y=mx+c what is c?

- hartnn

y=mx+c or y=mx+b
b or c is called 'y-intercept'

- anonymous

i think its y=mx+b not c

- hartnn

then b is y-intercept

- anonymous

ohkkk!!

- anonymous

it has'nt proof? right @hartnn

- anonymous

right???

- ganeshie8

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- anonymous

so

- ganeshie8

lets say, P(x, y) is some point which lies on this line with slope m and y intercept = c,
then the slope =
m = (y-c)/x
mx = y-c
y = mx+c
thus the point (x, y) on the line with slope m and y-intercept c lies on the line if and only if y = mx + c

- anonymous

We know :
\[m = \frac{y - y_1}{x-x_1}\]
\[\implies m(x-x_1) = y - y_1 \implies mx - mx_1 + y_1 = y\]
Here : \(y_1 - mx_1 =b = y- Intercept\)
\[\color{green}{y = mx + b}\]

- anonymous

then the slope =
m = (y-c)/x
how did you get?? @ganeshie8

- anonymous

thnx.. @waterineyes

- ganeshie8

|dw:1352995454007:dw|

- anonymous

3 statement ?????confused???? @waterineyes

- anonymous

What @Hares333

- anonymous

not satisfied?? @ganeshie8 plz explain me step by step

- ganeshie8

do u knw the slope formula ?

- anonymous

Here : --------- INTERCEPT how did you get? this line

- anonymous

yaa @ganeshie8

- anonymous

@ganeshie8 take that 'c' as b...

- anonymous

|dw:1352995664496:dw|

- anonymous

right? @ganeshie8

- ganeshie8

right. u seeing 2 points on that line ? apply slope formula to those two points, and see what u get

- ganeshie8

point1 : (0, c)
point2 : (x ,y)
slope = m = ?

- anonymous

@Hares333 :
\(y_1 - mx_1 = b\)
Becuase, in y-intercept, x_1 must be 0, so we are left with : y_1 = b = Intercept..

- anonymous

See, I am taking the example of @ganeshie8 :
He has taken : \((x_1,y_1)\) as \((0,c)\).
Now :
\(y_1 - mx_1 \implies c-0 \implies c\)
And \(c\) is nothing but y-intercept..

- anonymous

|dw:1352995977026:dw|

- anonymous

right @ganeshie8

- anonymous

Yes go ahead...

- anonymous

You can write "Slope" as m..

- anonymous

1 question arise!!! is that What is the slope-intercept form..

- anonymous

@waterineyes

- anonymous

Slope Intercept form is what you are asking this question For...

- anonymous

what's the diiference betweem slope-intercept form and equation of a line?

- anonymous

We call 'm' as Slope and b or c as y-Intercept or simply Intercept..
So , this makes Slope-Intercept Form..

- anonymous

and what about equation of a line?

- anonymous

Slope-Intercept Form is the method for finding equation of a line...
It is a way to find a line equation...

- anonymous

Equation of Line represents that In 2 or 3-Dimensions, what are its dimensions..
How long it is along x-axis, how long it is in y-axis and z-axis etc etc...

- anonymous

very-very thank you @waterineyes you are a gr8 helper!!!

- anonymous

You are welcome dear...

- anonymous

And @hartnn , this time I am typing..
Ha ha ha ha..

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