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

1. zahabaha Group Title

okkk

2. amistre64 Group Title

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3. amistre64 Group Title

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 Group Title

$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 Group Title

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

6. amistre64 Group Title

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

7. rymdenbarn Group Title

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

8. amistre64 Group Title

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 Group Title

thank u amistre.. i enjoyed this short thread

10. amistre64 Group Title

im a man of few words :)

11. mukushla Group Title

:)