Yes, this example is definitely slippery slope.  Slippery slope arguments jump to dire consequences.  A great example of slippery slope used in advertising are those Direc TV ads, like the one where the guy gets frustrated about his cable bill, goes to play raquetball, and ends up in a roadside ditch.

DirecTV ad example of slippery slope. 

This one is a slippery slope logical fallacy.  It is one that claims that if we do one thing that is relatively minor, some other really bad thing will surely happen.  It is a fallacy where you assume that any action will necessarily lead to an extreme result.