Yes, except...
There's a recent paper in the CanadianMedical Association Journal entitled "Euthanasia in Belgium: trends in reported cases between 2003 and 2013". You should read it. In Belgium, it became legal in 2002 for a physician to end a patient's life intentionally, if the patient requested it explicitly. In the first year after the law was enacted, there were 250 instances of euthanasia in Belgium. In 2013, the most recent year for which statistics have been published, there were 1800 instances. I crunched the numbers a bit, and it turns out the number of authanasia deaths in Belgium has increased at a thrid-degree polynomial rate -- i.e. proportional to the third power of time. The article states "The rate of euthanasia increased significantly among those aged 80 years or older, those who died in a nursing home, those with a disease other than cancer, and those not expected to die in the near future."
So, there's some evidence. This slope is slippery.