The standard grips this chord is usually shown with.
Am9 is A, C, E, G and B, a minor ninth. The shape this page opens on is written x22213, lowest string first.

Also written Amin9, A-9 or A minor 9. The same chord either way; which spelling you meet depends on who wrote the chart.
There are 9 common shapes for Am9 on the guitar, and 44 derived voicings in 5 families.
In which keys. Every note of Am9 belongs to C major (the vi), E minor (the iv), G major (the ii) and A minor (the i).
The common shapes, written lowest string first: x22213, x02413, xx2413, 53x453, x35455, 575557, 809080, 8-10-9-9-10-8, x-12-10-12-12-x.
Shell. Root, third and seventh: the guide tones fix the quality, so the fifth is dropped. That is what leaves a string free, so pick a tension to put on top. Am9 has 5354xx, x-12-10-12-12-x, xx7587.
Drop 2. A close-position chord with the second voice from the top lowered an octave. Sits on four adjacent strings. Am9 has 5354xx, x-12-10-12-12-x, x2521x, xx5415, xx7587, 8-12-9-12-x-x, x-x-9-12-10-8, x3748x.
Drop 3. The third voice from the top lowered an octave. The dropped voice becomes the bass, which is why a string is skipped. Am9 has x2x213, 5x541x, 7x758x, x-12-x-12-12-8, 8-x-9-12-10-x, x-14-x-14-13-15, x3x485, x-10-x-5-10-7.
Rootless. The root left to the bass player. Frees a finger for a tension. Am9 has x2201x, x3545x, xx5557, xx9988, x-x-10-12-12-12, x-14-14-12-13-x, x2x010, xx2413.
Open string. An open string left ringing against a fretted grip. Because it costs no finger, it sounds a note the closed shape has none left for -- a tension on top, or a pedal root underneath. Either a familiar grip with open strings added, or a shape so sparse the open strings carry the chord. These belong to their key rather than to a shape, so D, A, G and E have many and Eb a handful. Am9 has 030453, 535400, x05557, 530000, x00503, 03000x.
Tensions. A shell of Am9, root, third and seventh, leaves a string free, and the tones that belong over it are the 11 (D) and the 13 (F#).
The common shapes and the derived voicings come from different places, and both are explained in where the chords and the theory come from.
Shows each chord the way this style would voice it, and marks which of its alternatives belong to the idiom.