You should start with installing Racket on your computer. For example, on Debian you should issue this command as root:
aptitude install racket
This command will install Racket environment on your computer.

Next you should install bystroTeX using this command as normal user (i.e. not root):
racket -e '(require (planet "amkhlv/bystroTeX/slides_setup.rkt"))'
This command will take some time, because it has to download and compile things. It will talk back to you, asking some questions and giving further instructions. In particular, it will ask you to choose a folder where a sample slide presentation is stored. After the installation, go to that sample folder.