Answer
The equation for the acid base reaction and the conjugate acids and bases are shown in the picture. The equilibrium favors the reactants.
Work Step by Step
$CH_3SO_3^-$ can accept a proton from $CH_3COOH$. So the following reaction will take place. $CH_3COO^-$ is the conjugate base because it losses a proton and $CH_3SO_3H$ is conjugate acid because it gains a proton. Stronger acid and base are on the product side. The equilibrium will favor the weaker side and thus, reactants will be favored.
The weaker base is resonance stabilized, where the electrons in the double bond between sulfur and oxygen are delocalized. Moreover, stronger base is also resonance stabilized.
