The best access method for Jim, who wants to access the internet while still being able to make phone calls on his landline, is DSL (Digital Subscriber Line).
DSL allows for simultaneous use of the internet and telephone line without interruption, unlike dial-up, which occupies the phone line while connected to the internet. Fiber optic and broadband are also great options for high-speed internet, but DSL specifically is designed to work over existing telephone lines while allowing phone calls to take place simultaneously.