Maybe this driver would help you:
Check this page:
http://support.asus.com.tw/download/download.aspx?SLanguage=uk
Here choose:
Select Product: Eee Family
Select series: Eee PC
Select Models. Eee PC 1015BX
Choose Win 7 driver
Now choose VGA drivers and download the latest driver using (global) link
The ini file contains the HD6290
You can update the driver via device manager.