The line rate is a physical layer term that has nothing to do with the line cards or switching fabrics. It indicates the actual speed with which the bits are sent onto the wire (and is thus also known as physical layer gross bit rate). The data transfer rate (commonly known as bit rate) is the transfer rate offered by the physical layer to the data link layer. If you want to be precise, you should call it physical layer net bit rate.
Two well-known physical layer technologies with different line rate and data transfer rate are ISDN (actually the I.430 recommendation) with 160192 kbps line rate and 144 kbps data transfer rate and Gigabit Ethernet (the 802.3z recommendation) with 1.25 Gbps line rate (due to 8b/10b encoding).