Specifically that model laptop has a VIA VN896 chipset with integrated VIA Chrome9 HC graphics. This may be of some use: https://help.ubuntu.com/community/OpenChrome
. Note that the xserver-xorg-video-openchrome comes installed on the Linux Mint installation ISOs. That's the open source driver referred to in the linked article, and as noted there you also have an option to install a proprietary driver. But that won't help you to boot now, as you first need to install Linux Mint before you can do that.
You may have better success with Linux Mint 13, and I'd recommend MATE or Xfce (as these have no 2d or 3d hardware acceleration requirements on the default install, unlike Cinnamon and KDE). Also, try compatibility mode from the boot menu (press a key during the 10 second count down, then select the second entry in the menu).
I've moved your post here as I think your problem is specific about this IGP, and hopefully here you can get more pointed advice on it.