One of the most popular points of view on Linearized Gravity is a Massless Spin-2 Particle Theory. This theory often serves as a starting point to formulate a quantum version of gravity theory. The Spin-2 Field has a well defined local energy density equal to $\frac12(E^2 + B^2)$ in analogy to Maxwell Electrodynamics. However, obtaining this energy formula from Hamiltonian formulation is not obvious, so to clarify it, I will present a new formulation of Classical Electrodynamics analogical to Fierz formulation of the Spin-2 Field Theory. The relations and differences between Linearized Gravity and the Spin-2 Field Theory will be discussed.