Cab companies often charge a flat fee for picking someone up and then charge an additional fee per mile driven.

The city of Raleigh, NC charges $1.95 fee and $2.70 per mile for each Cab ride.
What does the slope mean in the context of the problem?

In the context of the problem, the slope represents the additional fee charged per mile driven by the cab company in Raleigh, NC. Specifically, the slope of $2.70 per mile indicates that for every mile driven, the cab company charges an additional $2.70 on top of the initial fee of $1.95.