Applying brakes slowly on slick roads is crucial to prevent skidding, as sudden braking can lead to loss of traction. When brakes are applied gradually, it allows for better control of the vehicle and reduces the likelihood of locking the wheels. This is due to the principles of friction and momentum; gradual braking maintains a balance between the forces acting on the vehicle. Additionally, it helps to distribute weight more evenly, enhancing stability. Understanding these concepts can significantly improve safety while driving in slippery conditions.