Final answer:
A bromine atom (Br) and a fluorine atom (F) will form a single covalent bond since each halogen atom needs one additional electron to complete its octet, achieved by sharing one electron each.
Step-by-step explanation:
The type of covalent bond that would form between a bromine atom (Br) and a fluorine atom (F) is a single bond. Bromine and fluorine are both halogens and have seven valence electrons. They each need one additional electron to complete their valence shell. By sharing one electron each, they form a single covalent bond, with the shared electron pair completing each atom's octet.
Examples of single covalent bonds include hydrogen gas (H-H), where two atoms of hydrogen share their solitary electron in a single covalent bond, and fluorine gas (F-F), where two fluorine atoms share one electron each.