amistre64
  • amistre64
So I was thinking last night about 2 lines that share a common point.
Mathematics
katieb
  • katieb
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anonymous
  • anonymous
okkk
amistre64
  • amistre64
|dw:1346094239663:dw|
amistre64
  • amistre64
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

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amistre64
  • amistre64
\[y_1=m_1+b_1\]\[y_2=m_2+b_2\] the distance at x=0 is b1-b2; the rate of change that effects this distance is m1-m2; therefore:\[Y_d = (m_1-m_2)X_d+(b_1-b_2)\]
amistre64
  • amistre64
this of course is nothing new, its what happens when you apply the substitution method ....
amistre64
  • amistre64
i just thought it was a nice way at looking at the issue :)
anonymous
  • anonymous
Yes, it is... interesting to think about, thank you
amistre64
  • amistre64
yw and so, the value of Xd where the distance "Yd" = 0 is then\[-\frac{b_1-b_2}{m_1-m_2}\]
anonymous
  • anonymous
thank u amistre.. i enjoyed this short thread
amistre64
  • amistre64
im a man of few words :)
anonymous
  • anonymous
:)

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