Obviously one can run bbc-basic on any number of linux distros, but just some thoughts on why I ran it on Slax and some tips - without repeating the whole of their own fine instructions..
Small <300mb in size. Can be booted from CD/DVD, but I chose to boot from usb sticks with persistence. Like anything, make backups of your critical work.
Install for sticks: you do NOT use an image "burner". All you do is open (double click) the downloaded iso, which mounts the iso. Then you copy the /slax directory from the iso to your fat32 stick (or ext fs, but see site for further info). Then, if running Windows or even another linux box, run the .bat file in /slax/boot *on the stick!*) which makes the stick bootable. Shutdown / remove eject stick in a nice fashion.
Again, do not burn the iso for sticks - do the above instead which is a simple copy and bat file operation.
Basically, Slax is small and not my daily driver. It runs as root, so beware. Very small selection of applications, but all I needed was the included xterm. The browser makes it easy to read this forum and html docs of course if you decide to actually take it online. Sure you can update it and go bananas, but all I wanted was a launcher for bbc-basic console mode! I use other things for daily driving on the net.
Xterm notes for those who have never used it - to get a larger font, just CTRL-right-click and choose your desired size for fonts.
So in the end, I can just take my stick to any of my 64 bit boxes, and run this specialized little distro - which for me is a dedicated bbc-basic stick more or less! Not much to get distracted by, so I can concentrate.

Thanks Richard - coming from the command line days, I still dig console mode, so thanks - works a treat on my Slax usb boot stick!