can anybody tell me how to convert triangle polygons to quads in maya 2009


Just make sure you delete the remaining vertices after you delete the edges, they get left behind and you end up with ngons which is a lot worse than tris and things like your insert edge loop tool will no longer work. Looks to me like where ever that edge is going it is not a very good use of geometry so if it's meant for tying something together there must be a better way of doing it in another area.Can you post a bigger picture of your object? Cant really see where this edge going.
The best way to modify is by hand. Delete edge (what you dont like) & split polygon tool.