revently I've gotten more and more out of modern rock playing and a little more into jazz. But I still dont know how the guitar lines in jazz improvs are formed. I've seen a lot of jazz players recently and when they improv its like they are basically playing arpeggios or like one or two note per string ideas. I know my melodic minor scales and pretty much any scale i would need for jazz. But where do I begin on converting my "linear" rock ideas to jazzier phrases? Should I just learn a lot of arpeggios? And how can those be used in a song context?

Any help would be appreciated!
Slasha