The graphics card has a PCI Express card slot. Don't let the name fool you, PCI and PCI Express are not compatible with each other at all.
To make it more confusing, the tiny white slot is also a PCI Express slot, a PCI-E 1x slot. The graphics card has a PCI-E 16x slot, basically 16 of those tiny slots in one big connector.
The bottom purple slot is either an AMR or CMR slot. It was designed for a cheap 56k modem, but those modem riser cards were very hard to get and a normal pci modem was dirt cheap anyway, so nobody bothered to use it.