Nope. No slippery slope here. Move along.
Whenever someone opposes the latest encroachment on the right to life that everyone possesses by warning that it is but a 'slippery slope' leading to something far worse, they are ridiculed as being an alarmist; therefore, those who warned that legalized abortion would lead to, among other things, out-and-out infanticide were (and are) patted on the head and told to go sit at the kiddie table of the discussion so the "grown-ups" can talk.
Next time you hear someone using the 'slippery slope' argument to warn against what is, really, following a particular path to its logical conclusion, and you are tempted to dismiss them as being a simple-minded alarmist, remember this:
Arguing FOR the killing of disabled babies, professor of human genetics at University College London, Joy Delhanty, said "We can terminate for serious fetal abnormality up to term but cannot kill a newborn....What do people think has happened in the passage down the birth canal to make it OK to kill the fetus at one end of the birth canal but not at the other?"
Ms. Delhanty just made a better argument against abortion than I ever could.