For some reason the desmos engine doesn't do mod(x,3)=0, perhaps it's graphing an infinately small point. If you allow the value of the modular function to be less than a small number, say, mod(x,3)<0.01, then you will see the points you expect.
Verbatim is defined as an exact repetition without changing the words. An example of verbatim is when you quote someone exactly without changing anything. word for word; in exactly the same words. Origin of verbatim.
Verbiage is the use of more words than necessary to effectively convey meaning in speech or writing: wordiness. Contrast with conciseness. The Shorter Oxford English Dictionary defines verbiage as [s]uperfluous abundance of words, tedious prose without much meaning, excessive wordiness, verbosity.. See Examples and Observations below.