In a foreclosure can a lender sue you for heloc?

If homeowners owe money on their HELOC (Home Equity Line of Credit), and are not paying the loan back, they can be sued for foreclosure.

The HELOC is secured by the real estate, and the mortgage company has a lien on the home. When the borrowers signed for the line of credit, they agreed that the bank could foreclose on their house if they fell behind on the payments.