Light shows two kinds of behaviour. Interference and diffraction can only be explained if light is a wave. The photoelectric effect can only be explained if light arrives as particles called photons. Both pictures are needed, and this is called wave-particle duality.
The same is true for matter. When a beam of electrons passes through a thin film of graphite, a pattern of rings appears on a screen. This is electron diffraction, and diffraction is a wave property, so moving electrons behave as waves.
The wavelength linked to a moving particle is its de Broglie wavelength. It gets smaller as the momentum of the particle gets larger.