min7b5 chords are constructed with the 1st, b3rd, b5th, and b7th notes of the major scale. min7b5 chords can also be called "half-diminished 7th" because they are identical to a diminished 7th chord except for the 7th is lowered once (b) instead of twice (bb).
Below are some common Gmin7b5 shapes to study
Gmin7b5
This common min7b5 shape includes the root note on the 6th string
Now, let's study those same common min7b5 shapes with a C root note
Cmin7b5
This common min7b5 shape includes the root note on the 6th string