HOLD ON
Ask your pillion to hold on at all times to either you or the bike's grabrail, if it has one. This will give your passenger a feeling of added security and help prevent them for sliding backwards and forwards each time you accelerate or brake.
If your bike doesn't have a grabrail or you're not comfortable with being held onto then consider a Pillion Pal safety belt, which clips around the rider's waist and has moulded plastic handles to which the passenger can hold on.