break out like fire - bursting through everything in His way. God is “a consuming fire” (Deu 4:24; Isa 10:17; Lam 2:3).
the house of Joseph - the kingdom of Israel, of which the tribe of Ephraim, Joseph’s son, was the chief tribe (compare Eze 37:16).
none to quench it in Beth-el - that is, none in Beth-el to quench it; none of the Beth-el idols on which Israel so depended, able to remove the divine judgments.