## Hares333 2 years ago Can anyone has proof for slope-intercept form(y=mx+b)

1. Hares333

2. Hares333

@Yahoo! @ganeshie8 @TuringTest @Zarkon

3. Hares333

urgent!!! i have a seminar plzz

4. Hares333

@hartnn @hba plzz help

5. 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.

6. hartnn

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

7. Hares333

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

8. hartnn

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

9. Hares333

y=mx+c what is c?

10. hartnn

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

11. Hares333

i think its y=mx+b not c

12. hartnn

then b is y-intercept

13. Hares333

ohkkk!!

14. Hares333

it has'nt proof? right @hartnn

15. Hares333

right???

16. ganeshie8

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17. Hares333

so

18. 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

19. waterineyes

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 : $$y_1 - mx_1 =b = y- Intercept$$ $\color{green}{y = mx + b}$

20. Hares333

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

21. Hares333

thnx.. @waterineyes

22. ganeshie8

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23. Hares333

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

24. waterineyes

What @Hares333

25. Hares333

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

26. ganeshie8

do u knw the slope formula ?

27. Hares333

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

28. Hares333

yaa @ganeshie8

29. waterineyes

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

30. Hares333

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31. Hares333

right? @ganeshie8

32. ganeshie8

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

33. ganeshie8

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

34. waterineyes

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

35. waterineyes

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..

36. Hares333

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37. Hares333

right @ganeshie8

38. waterineyes

39. waterineyes

You can write "Slope" as m..

40. Hares333

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

41. Hares333

@waterineyes

42. waterineyes

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

43. Hares333

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

44. waterineyes

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

45. Hares333

and what about equation of a line?

46. waterineyes

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

47. waterineyes

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...

48. Hares333

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

49. waterineyes

You are welcome dear...

50. waterineyes

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