Jason Epstein, a 38-year-old competitive biker, was hit going southbound on Falls of Neuse Road, between Morrowcroft and Durant Roads, just after 3 p.m.
Police told ABC11 the vehicle driven by Banks struck the cyclist and dragged his bike about a quarter of a mile to the I-540 exit. As Banks was getting onto the exit, the bike fell out from underneath the vehicle.
Banks was later taken into custody.
In addition to the hit-and-run and DWI, Banks is also charged with driving with a fake license plate and not registering her vehicle, according to police.
Monday, a judge set Banks' bond at $26,000.
Banks is also charged with driving with a fake license plate and not registering her vehicle.
Epstein is recovering at home.