Well, you already have nameservers configured (google nameservers as it happens, but that's OK). ipv4 settings aren't stored in a single configuration file, but are actually represented by a conglomeration of files that for a large part represent little more than switches, all stored in /proc/sys/net/ipv4 (if you do "ls /proc/sys/net/ipv4" you'll see all the files responsible), though it's extremely rare that you would have to configure any of these manually, and then only for a specific purpose rather than troubleshooting.
Just as a matter of interest (and working from memory here - been a while since I used Mint, having switched via Debian to Arch in the past year) but open up your network manager (it should be accessible from the tray icon) and find the option to disable ipv6. Don't panic, you are only disabling it on your local network, your router takes care of the external network. I seem to remember I once had a similar problem, and ipv6 was the problem. Once it was disable the problems went away.