Final answer:
Aspirin is commonly administered first to a patient experiencing a MI to help break up blood clots, followed by nitroglycerine for vasodilation.
Step-by-step explanation:
When a patient is undergoing a myocardial infarction (MI), immediate treatment is critical. Among the initial interventions, aspirin is often given first, due to its ability to help break up blood clots. This is followed by administering nitroglycerine sublingually, which aids in vasodilation and consequently improves blood flow. Aspirin's anticoagulant effects are established, making it effective at inhibiting platelet aggregation, which is vital during a heart attack to reduce adverse effects. Nitroglycerine has been widely used in treatments since the 1880s and continues to be essential for its role in relaxing coronary vessel muscles through the release of nitric oxide, a known vasodilator.