The save point is an opportunity to save your progress. These appear automatically throughout your adventure when you reach certain points in the story, and you cannot save your progress outside of these occurrences. There are three slots available, which when chosen will overwrite the save that was saved there previously.
Save point 8 - Appears after using the computer console in the north west corner once you've taking control of Leon and you then attempt to leave the room.
Save point 10 - Appears once you have activated the sprinkler system when playing as Leon before viewing the security cameras and then attempting to leave the room.