audio:x:17:user_name

Yeah, just realized that probably your card should work "out of the box" (doesn't need any extra module parameters), the only thing is that for recording you need to be in audio group. When you are creating new user in slackware it automatically suggest you to add the user in following groups:
you can add yourself to any of this groups later by command suggested in above messages, or by editing as root user the file /etc/group, and add yourself at the end of appropriate line(s). For example in my system I am named vladimr and it looks like this:

Or in one line:

wow.. the mic is still not recording my voice after I did that.

did you reboot or re-logged into the system after changing /etc/groups?

Yepp.

I've always had trouble getting the mic to work in Skype while using Slackware. I think PulseAudio has something to do with it, hence why some other distros which have pulse (Fedora, Ubuntu) work right out of the box. You have to play around with alsamixer and make sure you enable the right microphone/Capture. Look also at "Front Mic Jack Mod", which may be one of your alsamixer settings. If you don't see it, press the "Tab" key to see other volume settings. It will either need to be in "Mic In" or "Line In". Mine is "Mic In". Make sure the volume for these settings is not muted. Keep playing around with these settings while having Skype open. That way it will be easier to troubleshoot. I eventually got mine to work.

Yeah.. I've already done that too

crap double posted..

A reminder of the suggestion from post #26 by T3slider.
I have an ALC272X in an Acer eMachine EM250 and I find that for the internal microphone to work in Skype-2.1.0.81 I need the mixer to have Capture turned on and that the microphone input level is set by the Digital capture level rather than the Capture level. (The microphone is set as the default device in the Skype options).

This is a little weird, as if I use ffmpeg to test my webcam setup, then the microphone input level is set by by the mixer Capture level.
I suggest you use the Skype test call facility to do your testing!

Alsa looks like..

Attached Thumbnails

 

Have you tried pushing up the mic boost levels to their maximum values?

Also, to help with debugging this it would help to know the make and model of your machine. (I am guessing at a Toshiba Satellite M645, based on the dmesg output you pastebinned in another thread. At Ubuntu they suggest using the model=toshiba option to snd-hda-intel for Toshiba. http://ubuntuforums.org/showthread.php?t=1043568 )

Yes, I have. I have a Toshiba Satellite M645.

bash-4.1# pwd
/etc/modprobe.d
bash-4.1# cat sound
alias snd-card-0 snd-hda-intel
alias sound-slot-0 snd-hda-intel
bash-4.1#

When I was booting up, I noticed an error message said /etc/modeprobe.d/sound --- no .config found - will be ignored in later release. This was done 4 times in a row?

Did you try creating a file snd-hda-intel.conf there and putting
in it?