@TMW, you have a right to die. What you don't have a right to is to assist someone else in their death, because history has shown that "helping" other people to their death is not always done with the other person's free and full consent.
And as I originally brought up the Nazi reference, I will be happy to defend it as relevant to the question. The Nazis (well before WWII and the Holocaust) initiated a program to allow parents to consent to the euthanasia of their disabled children. It was sold as a program to give parents the option of allowing for a merciful death for their children, and was supported by the general population, despite opposition from the churches. It started out as designed, but over time the rules softened, and administrators in various government-run institutions, including orphanages and hospitals, became increasingly involved. It ended up as mass murder, with government bureaucrats forging signatures from parents and putting to death any children that they didn't want to take care of or that belonged to an "undesirable" class.
That's how the slippery slope works: starting with the best of intentions, and then devolving into the most horrific actions, one small step at a time. The only way to absolutely ensure that it never happens is to put in place the strongest controls possible, like the controls we have in place with respect to capital punishment. Proponents of euthanasia talk a lot about the "right to die" and make it out to be a human rights issue, but then they slip up and start mentioning things like limited resources, and at that point it's clear what the real agenda is: population control, with or without the consent of the people whose "population" is being "controlled".