Final answer:
The two kinds of vetoes are absolute veto, where a president can reject an entire bill, and line-item veto, which allows specific provisions to be vetoed. The line-item veto for the U.S. President was overturned by the Supreme Court in 1998 and is no longer available at the federal level.
Step-by-step explanation:
The two kinds of vetoes are absolute veto and line-item veto. An absolute veto refers to the president's power to completely reject a bill passed by Congress, preventing it from becoming law unless Congress can override the veto with a two-thirds majority in both houses. A line-item veto, on the other hand, allows the president or a governor to reject specific provisions of a spending bill without vetoing the entire bill. However, it is important to note that the line-item veto for the president was overturned by the Supreme Court in 1998, effectively eliminating its use at the federal level, although the concept continues to be used by governors in various states.