I am so sorry it took me so long to post again. I feel horrible for making a post and forgetting about it. My apologies.
However I have been trying to record the problem, I have tried several times. Besides college and work I have been very busy lately. One reason I have not been able to post school started. Anyways, with the recordings I record a game, (not with a video camera) but with a software program that records whats on the screen.
I set my laptop to ONLY display on my flat screen, Ill play a couple minutes of game (recording) and I see the line, then when I watch the recording there is no line. I tried several different times.
But the good news is I finally figured it out. This whole time it was a driver update. Well anyways today I saw that Intel had a new driver update out (new for me) and I installed it and like that the line is gone. It was an accident really. With the newest driver I do not see it anymore, moving pictures, I have tested it several times, and its just gone, I thought I had all the updated drivers but I guess not. New graphics driver actually fixed it. I could have sworn for months now that it was my Laptop HDMI port, but this whole time it was a driver issue.
I know why now, when I first got my Sony Vaio it came with a pre installed Sony Graphics Driver for the Intel HD Graphics card (integrated) and I had to jump through some hoops, to uninstall it and use the newest most current Intel driver (at the time it was 4/16/2011). It even warned me that uninstalling the Sony driver could cause issues, me being me, I ignored it completely and went ahead and installed Intel's driver. Then around that time is when i started noticing the line when using HDMI. But now I updated the Intel Driver again (not Sonys because its a 2010 driver, INtels is a 8/15/2011) and the Line is gone. I never even though that could be the issue, well anyways just wanted to say thank you for your time and help, and I truly apologize for not posting back sooner. School just started so I am still getting my time schedule straight.
Thank you again for your time and I am very sorry I have not gotten back to you sooner. My Apologies.
I am happy the problem is solved