And so you'll know what to keep an eye out for, take a look at this
Giant Roam. It's in white, which makes it easier to spot the eyelets/braze ons. Take a look at the rear triangle ( formed by the seat tube, seat stay, and chain stay... where the rear wheel goes), see that dark hole on the seat stay about an inch or so past the seat tube? That is where you would attach the rack at the upper end at. Now follow that seat stay down to almost the very end- you should see a little 'eye', that is where the lower end of the rack attaches.