Is there an equation for every graph? Is it possible to write a formula for any line imaginable, for example a drawing?
I once saw this long, and complicated, formula made by a mathematician with loads of ceilings etc.
The explanation was something to do with something he was programming for computers using pixels - I'm really not sure - but basically, the entire graph had every single pixel drawing there was, and then limits were set to section off the image you wanted.
Is this possible with actual lines, not pixels.
-- I did a search and it's this: Tupper's self-referential formula

The short answer is "no". A long answer would require   careful definitions of "formula" and of "any line imaginable". Those definitions are hard to write.
If you have to draw a curve of pixels on a computer screen you will often be able to find a formula that gives you a good approximation of what you want.
