The Z-dependence of the oscillator strengths for the intercombination transition (2s^2)^1 S0 → (2s2p)^3 P1 and the resonance transition (2s^2)^1S0 → (2s2p)^1 P1 along the Be-isoelectronic sequence is studied by analyzing the excitation energies and line strengths from the configuration interaction calculations with a relativistic hydrogenic basis. Eigen equations for the two-configuration final states and three-configuration initial state are solved both numerically and analytically, and the analytic expressions are further expanded in power series of the relativistic parameter (Zα)^2. While approximating the exact numerical results well, these analytic formulas provide the Z-dependence description of the oscillator strengths along the Be-isoelectronic sequence. To provide an overall agreement with experiment and with other theories, however, a screened relativistic hydrogenic basis must be used.