Notation for "the equation of the line $ \overleftrightarrow{AB} $ is $ y=mx+c $"

Question

Does there exist some widely accepted notation that is equivalent to the following sentence?

The equation of the line $\overleftrightarrow{AB}$ is $y=mx+c$

I'd like to express this without the use of words.

Answer 1

I usually use the notations

$$ \overleftrightarrow{AB}: \,\, y=mx+c $$

or

$$ r_{AB}: \,\, y=mx+c $$