Weak electric and magnetic form factors for semileptonic baryon decays are calculated in a relativistic quark model based on the Dirac equation with the independent-quark confining potential of the formV_q(r)=1/2(1+γ⁰)(a²r+V₀). The values obtained for (g₂/g₁) are not very much different from the nonrelativistic results of Donoghue and Holstein. The values of (g₁/f₁) extracted from our model calculations of (f₂/f₁) in the Cabibbo limit compare well with the experimental values. The values of (f₂/f₁) for various semileptonic transitions are also estimated incorporating phenomenologically the effect of nonzerog₂ in the ratio (g₁/f₁). It is found that the SU(3)-symmetry breaking does not generate significant departures in (f₂/f₁) values from the corresponding Cabibbo predictions.