We report the results of a study of the pressure broadening and resonant frequency shift of the absorption profiles of the ${D}_{1}$ and ${D}_{2}$ lines of Rb and K in the presence of ${}^{3}$He and N${}_{2}$ gases over a range of number densities. We have also examined the temperature dependence of the broadening and shift over a range of approximately 340 to 400 K. We compare our results for the broadening and shift coefficients for Rb ${D}_{1}$ and ${D}_{2}$ to current values and present coefficients for K ${D}_{1}$ and ${D}_{2}$.