Consider the ideal $I = \langle(3,4) \rangle$ of the ring $\mathbb{Z} ×\mathbb{Z}$. Prove that $(\mathbb{Z}×\mathbb{Z})/I$ is not a domain. Having some trouble with this. Need to show that there exist some Zero Divisor, but not really sure what that would look like in $(\mathbb{Z}×\mathbb{Z})/I$
Thanks in advance

Hint: $(3,1) \cdot (1,4) = (3,4) \in I$.
