English verbs: fall/fallen, slide/?

A friend at lunch was trying to express how much our company had changed for the worse in recent times.

He started to say (using the metaphor of sliding downhill):

"That just goes to show how far our company has… "

And paused unable to complete the sentence with a form of “slide”.

If he had used a metaphor of falling, he could have said “how far our company has fallen”.
Being a native English speaker, and thus having dutifully ignored learning such exact terminology when applied to my own language, I’m at a loss to explain why there seems to be no appropriate “perfect” tense of the verb “to slide” in English. (if perfect is the word I’m looking for to describe the verb tense in question).

Is there such a word? (slote?) If not what property of this verb is inhibiting using it in this fashion?

Please enlighten me.

Now I want to say ‘slidden’ but that doesn’t seem to be correct. From Apple’s inbuilt dictionary app:

So it looks like it would be ‘has slid’.

You are looking for the “past participle” of the verb “slide”, which is usually “slid”, as Sunspace points out, though I believe (and dictionary.com confirms) “slidden” is also used by some speakers.

That just goes to show how far our company has… "
“. . . slud.”
While not proper usage, it still conveys the meaning, much like the now-accepted “snuck” which in my experience is heard more commonly than “sneaked,” just not in formal writing.

Yup, slid.

Yes, “slid”, but it’s unusual enough to feel a bit odd. “How far our company has slidden” sounds plausible to me, too, but I’m pretty sure it’s wrong without looking at a dictionary.

“Has slid” sounds perfectly natural to me. “Had slidden” is all kinds of weird.

I had slidden, but a poultice cleared it up.

I had poultry, but a slide cleared it out.