The force exerted by a spring is described by the equation F = -kx, where k represents the spring constant and x is the displacement. To calculate the spring constant, rearrange the equation to k = -F/x, using the known values of force and displacement. This method allows for straightforward algebraic manipulation to find the spring constant. Understanding this relationship is essential for applications in physics and engineering. Accurate calculation of the spring constant is crucial for designing systems that rely on spring mechanics.