Question

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

Answer 1

okkk

Answer 2

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

Answer 3

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

Answer 4

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

Answer 5

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

Answer 6

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

Answer 7

yw

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

Answer 8

thank u amistre.. i enjoyed this short thread

Answer 9

im a man of few words :)

Answer 10

:)