Rejected once amid public fury about bailing out reckless financiers, a $700 billion rescue package is getting a second chance in the House as voters anxiously ponder an economic meltdown that could wipe out their ability to borrow, plunder their savings and put them out of work.

Republicans and Democrats were jumping aboard the bailout as the House sped toward a make-or-break vote — a much-anticipated do-over after the plan met with a stunning defeat Monday, triggering a historic stock market plunge...