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 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.