The price of a personal pizza, \( y \), can be expressed as a function of the number of toppings, \( x \). Starting with the base price of the pizza and adding the cost of the toppings, the equation can be written as:
\[ y = 7 + 2x \]
Here, \( 7 \) represents the price of the plain cheese pizza, and \( 2x \) represents the total cost of the \( x \) number of toppings, each priced at $2.