Being raised by the dragonborn, you have been brought up with the motto of “my life for the clan.” The dragonborn value the clan’s honor, integrity, and self-sufficiency above all else. Acts and actions attributed to individual dragonborn are expected to be attributed to the clan as well, as that dragonborn is assumed to be mentioning his or her clan as well, and paying honor and respect to them. Bringing dishonor or proving disloyal will lead to exile and clan expulsion. The dragonborn are semi-nomadic. They once held lands, but after being decimated shortly following the Draco Wars, they have been slow to recover. Still, there are a few more permanent dragonborn complexes dotting the landscape, but they are well-guarded secrets.
Selecting this background confers the following:
Languages. You can read, speak, and write Common and Draconic. Draconic is among the oldest languages in the world and is made up of harsh-sounding consonants and punctuated vowels. It is also a very ambiguous, metaphorical language, which scholars assume is what makes it so well-suited as a conduit for magic, something with which the language is often associated.
Clan Reputation. Even though you are an adventurer, you are still a member of your clan. Or are you? Work with your DM to determine what your clan holds to be important and what your standing with the clan is, as well as what implications that has on your character. Is your character a member in good standing, reporting back to the clan at every opportunity? Or are you an outcast, exiled from your people for some taboo you broke?