How does nullification lead to problems with slavery?

The Doctrine of Nullification was implicated due to Southern opposition to The Tariff of 1828. It was feared that the South's interpretation of the constitution would make federal regulation (and eventual abolishment) of the slave trade impossible. A compromise was reached with the Tariff of 1832, which was agreed upon by the entire Northern Congress and half of the Southern Congress. With this compromise, the Doctrine of Nullification was officially rejected by the country and tariffs stayed low enough to satisfy the southern states.