Final answer:
The Governor of Texas can exercise the line-item veto during state budget approval to veto specific items without rejecting the entire budget bill.
Step-by-step explanation:
The Governor of Texas can exercise the line-item veto when dealing with state budget approval. A line-item veto allows the governor to veto specific items or allocations in an appropriation bill without vetoing the entire bill. This means the governor can strike out certain expenditures in the budget that the legislature has approved while allowing the rest of the budget to pass into law.