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Hares333

  • 2 years ago

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

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  1. Hares333
    • 2 years ago
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    @waterineyes @radar @experimentX @ajprincess @surdawi

  2. Hares333
    • 2 years ago
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    @Yahoo! @ganeshie8 @TuringTest @Zarkon

  3. Hares333
    • 2 years ago
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    urgent!!! i have a seminar plzz

  4. Hares333
    • 2 years ago
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    @hartnn @hba plzz help

  5. hartnn
    • 2 years ago
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    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
    • 2 years ago
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    and i am not typing... ha ha ha ..

  7. Hares333
    • 2 years ago
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    y=mx+b is a equation of a line or slope intercept form??

  8. hartnn
    • 2 years ago
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    y=,x+c is the slope intercept form of equation of line...

  9. Hares333
    • 2 years ago
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    y=mx+c what is c?

  10. hartnn
    • 2 years ago
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    y=mx+c or y=mx+b b or c is called 'y-intercept'

  11. Hares333
    • 2 years ago
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    i think its y=mx+b not c

  12. hartnn
    • 2 years ago
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    then b is y-intercept

  13. Hares333
    • 2 years ago
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    ohkkk!!

  14. Hares333
    • 2 years ago
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    it has'nt proof? right @hartnn

  15. Hares333
    • 2 years ago
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    right???

  16. ganeshie8
    • 2 years ago
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    |dw:1352994948909:dw|

  17. Hares333
    • 2 years ago
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    so

  18. ganeshie8
    • 2 years ago
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    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
    • 2 years ago
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    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
    • 2 years ago
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    then the slope = m = (y-c)/x how did you get?? @ganeshie8

  21. Hares333
    • 2 years ago
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    thnx.. @waterineyes

  22. ganeshie8
    • 2 years ago
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    |dw:1352995454007:dw|

  23. Hares333
    • 2 years ago
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    3 statement ?????confused???? @waterineyes

  24. waterineyes
    • 2 years ago
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    What @Hares333

  25. Hares333
    • 2 years ago
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    not satisfied?? @ganeshie8 plz explain me step by step

  26. ganeshie8
    • 2 years ago
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    do u knw the slope formula ?

  27. Hares333
    • 2 years ago
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    Here : --------- INTERCEPT how did you get? this line

  28. Hares333
    • 2 years ago
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    yaa @ganeshie8

  29. waterineyes
    • 2 years ago
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    @ganeshie8 take that 'c' as b...

  30. Hares333
    • 2 years ago
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    |dw:1352995664496:dw|

  31. Hares333
    • 2 years ago
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    right? @ganeshie8

  32. ganeshie8
    • 2 years ago
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    right. u seeing 2 points on that line ? apply slope formula to those two points, and see what u get

  33. ganeshie8
    • 2 years ago
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    point1 : (0, c) point2 : (x ,y) slope = m = ?

  34. waterineyes
    • 2 years ago
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    @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
    • 2 years ago
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    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
    • 2 years ago
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    |dw:1352995977026:dw|

  37. Hares333
    • 2 years ago
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    right @ganeshie8

  38. waterineyes
    • 2 years ago
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    Yes go ahead...

  39. waterineyes
    • 2 years ago
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    You can write "Slope" as m..

  40. Hares333
    • 2 years ago
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    1 question arise!!! is that What is the slope-intercept form..

  41. Hares333
    • 2 years ago
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    @waterineyes

  42. waterineyes
    • 2 years ago
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    Slope Intercept form is what you are asking this question For...

  43. Hares333
    • 2 years ago
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    what's the diiference betweem slope-intercept form and equation of a line?

  44. waterineyes
    • 2 years ago
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    We call 'm' as Slope and b or c as y-Intercept or simply Intercept.. So , this makes Slope-Intercept Form..

  45. Hares333
    • 2 years ago
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    and what about equation of a line?

  46. waterineyes
    • 2 years ago
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    Slope-Intercept Form is the method for finding equation of a line... It is a way to find a line equation...

  47. waterineyes
    • 2 years ago
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    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
    • 2 years ago
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    very-very thank you @waterineyes you are a gr8 helper!!!

  49. waterineyes
    • 2 years ago
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    You are welcome dear...

  50. waterineyes
    • 2 years ago
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    And @hartnn , this time I am typing.. Ha ha ha ha..

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