"I'm assuming that MySQL is already set up and running on your system. The system must use LVM, and the MySQL data directory (/var/lib/mysql) should have an LVM partition of its own (althouth that is optional).
"If you have read Back Up (And Restore) LVM Partitions With LVM Snapshots you know that LVM snapshots require some unused LVM partition for the snapshot. My test system has a second, currently unused hard drive /dev/sdb that will be used by mylvmbackup to create a temporary logical volume for the backup."