malware transfer to new iMac from infected old Mac via cable co. modem?
I have just replaced an old eMac (Tiger) which had verified malware (spent a long time in Community Discussions to find this out). In those discussions I learned that a router could transfer malware to other computers in my house (I don't have others), which I found to be alarming. My concern now is because I have just heard from someone I know (who has a much more elaborate system for his job) that he had malware transfer from his old system to a new one via a connection cable.
I am now wondering if I am connected to cable company modem via (new) ethernet cable, could the modem transfer malware?
Thank you in advance for any help.
iMac, Mac OS X (10.7.3)