I hope I am understanding your question, module 5 and 6 should be your supervisors. all the Te ports can be used to my knowledge. Typically the standby will be in a redundancy role of standby supervisor, SSO mode and status standby hot.
Since the idea is for redundancy what I usually do is create a port channel with interfaces from either supervisors and uplink that portchannel to a distro, core or some other segment, if you loose the active supervisor there will only be a blip and network traffic will continue.
check out a few commands on your 4510
show module show module 5 show module 6 show interface status mod 5 show interface status mod 6
Question on - " need to know whether standby supervisor engine uplink 10G SFP+ ports will be active"
Answer- Supervisor Engine 8-E has resiliency built into its uplinks.The active supervisor engine controls all of the 10 Gigabit Ethernet uplink ports, including ports on itself and the other standby supervisor engine. Hence, two wire-speed 10 Gigabit Ethernet uplinks are in operation at all times, even if the active supervisor engine fails.