I study a Finance degree, and this is extremely helpful.
It is important as well to link equity financing to Initial Public Offerings and Seasoned Equity Offerings, particularly if a firm deals with capital markets. These are the share issuance processes that typically lead to share dilution. Also relevant to discuss dividend payments, and how a firm may offer cash or shares as dividend to their investors. Shares dilute existing shareholders, but cash would not.
Shares can further be issued through rights issues and bonus issues
Important as well to consider restrictions, lawyers can add dividend restrictions, asset disposal restrictions and covenants to prevent additional borrowing/equity issuances
With debt, creditors need to be paid first if a company goes into liquidation, so they have priority over equity shareholders. It is a cheaper cost of financing and so is less risky than equity for this reason. Must consider risk versus return to determine finance cost