There are two schools of thought when it comes to the issue of minimum wage levels.
Those who oppose it point out that raising it usually resorts in businesses doing one of two things, sometimes both. First, they cut hours or headcount to keep their payroll budget static. This sometimes means splitting full-time positions into mulitple part-time positions to avoid paying benefits.
It can also mean eventually raising prices to afford the new higher labor costs, which just adds inflation to the economy and the buying power of the new minimum wage goes down again anyway.
On the other hand, supporters point out that having a minimum wage can ensure that those lowest on the economic ladder are somewhat self-sufficient and don't drain social resources. There is also a moral imperative that a growing economy should benefit everyone, as income inequality is quite disparate right now. A rising tide should lift all boats to some degree.
Personally, I would support the minimum wage being raised. It's been over six years, and the economy has grown tredmendously since then, but wages haven't followed suit for many.
I think a better solution is to just peg minimum wage to inflation using an automated formula, so that it can keep pace with the economy annually without requiring the seemingly impossible action of Congress to get anything done to raise it.