Hi rogeroakley,
Thank you for joining the HP Support community. I understand that you would like to print from your iPad air to your Officejet 6310.
AirPrint functionality depends on wireless capabilities and your printer does not support wireless. I have included the product specifications for your reference.
HP Officejet 6310 All-in-One Printer Product Specifications
http://h10025.www1.hp.com/ewfrf/wc/document?cc=us&lc=en&docname=c00608729