Unfortunately this symptom indicates a hardware problem,
specifically, it is the result of a bad printhead (or the logic board that controls it).
The head is a "wear item" that fails with age/use. As this is a 2009 model printer, it is well past its 3 year service life, so this type of failure is not surprising.
There is one step you can take here, to clean and reset the system, but it is very unlikely to help. 99.9% of the time, this does come down to a hardware fault. These lexmarks are widely regarded as the worst printers ever made, they were very poorly designed and built and have very high failure rates. They were so bad that lexmark nearly went bankrupt supporting all the warranty claims, and stopped making inkjets entirely shortly after this model.
While it can be fixed, it is not worthwhile to do so. You would have to, at a minimum, replace the printhead, which costs about $90, A logic board would run you $200-250. For $80-100 you can replace the entire machine with a brand new model, with current technology and a fresh warranty, which makes more sense than buying the new part for an older printer.
Depending how you'd like to proceed, I can advise on the cleaning/reset steps if you wish to try, help with finding parts, finding a local repair shop, or recommending replacement options for you. Just let me know.
Best regards, ***** ***** for the news,
I am an independent technician and I've spent my personal time, unpaid, in a good faith effort to assist with the question for which you solicited my services. I am only paid for my efforts when customers such as yourself leave positive feedback for my work. Again I apologize there is not a better outcome here, though this is really beyond either of our control. I do hope you’ll consider leaving a positive rating for me, rather than “shoot the messenger”, so that I may get credit for my time spent in good faith to answer your question accurately.