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amistre64

  • 3 years ago

So I was thinking last night about 2 lines that share a common point.

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  1. zahabaha
    • 3 years ago
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    okkk

  2. amistre64
    • 3 years ago
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    |dw:1346094239663:dw|

  3. amistre64
    • 3 years ago
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    now, when the distance between the lines is zero, they meet and the rate of change that this happens is the difference between the slopes

  4. amistre64
    • 3 years ago
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    \[y_1=m_1+b_1\]\[y_2=m_2+b_2\] the distance at x=0 is b1-b2; the rate of change that effects this distance is m1-m2; therefore:\[Y_d = (m_1-m_2)X_d+(b_1-b_2)\]

  5. amistre64
    • 3 years ago
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    this of course is nothing new, its what happens when you apply the substitution method ....

  6. amistre64
    • 3 years ago
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    i just thought it was a nice way at looking at the issue :)

  7. rymdenbarn
    • 3 years ago
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    Yes, it is... interesting to think about, thank you

  8. amistre64
    • 3 years ago
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    yw and so, the value of Xd where the distance "Yd" = 0 is then\[-\frac{b_1-b_2}{m_1-m_2}\]

  9. mukushla
    • 3 years ago
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    thank u amistre.. i enjoyed this short thread

  10. amistre64
    • 3 years ago
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    im a man of few words :)

  11. mukushla
    • 3 years ago
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    :)

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