Although the colours are quite blocky, this GIF visualizes what's what.
The screencapture (link to a less blocky version) was taken from Capture One - its Kelvin-slider works the same way as Lightroom's Temp, and Tint...well, it is the same as in Lightroom. I also included an RGB histogram - and the levels for each channel.
The picture you see was taken in a studio with Hensel flashes (and softboxes) and my 5D Mk III - the colorchecker was just lying around there, so why not use it? In this case, it even created some additional privacy for the model. ;-)
As you can see, a lower color temperature (as in: less Kelvin) results in a blue picture, while a higher temperature enhances the amber-tones. A negative tint will make the picture greenish, while a positive tint will create a magenta-looking picture.
Also note that Lightroom's sliders show the estimated impact of slider movements:
Take the Temp-slider to the left and it will get blueish, etc.p.p.