# Error of the intersection of two linear functions

I have the following linear fits of two data sets

$L_1: y=(a_{1}\pm e_{1})x + (b_{1} \pm f_{1})$

$L_2: y=(a_{2}\pm e_{2})x + (b_{2} \pm f_{2})$

How do I calculate the intersection of $L_1$ and $L_2$ (coordinates + error)?

• This looks like a homework question, so it's better if you first present your ideas about solving it. – tst Jul 2 '18 at 14:56