amistre64 4 years ago So I was thinking last night about 2 lines that share a common point.

1. anonymous

okkk

2. amistre64

|dw:1346094239663:dw|

3. 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

4. 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:$Y_d = (m_1-m_2)X_d+(b_1-b_2)$

5. amistre64

this of course is nothing new, its what happens when you apply the substitution method ....

6. amistre64

i just thought it was a nice way at looking at the issue :)

7. anonymous

Yes, it is... interesting to think about, thank you

8. amistre64

yw and so, the value of Xd where the distance "Yd" = 0 is then$-\frac{b_1-b_2}{m_1-m_2}$

9. anonymous

thank u amistre.. i enjoyed this short thread

10. amistre64

im a man of few words :)

11. anonymous

:)