To represent the total population \( y \) in terms of years \( x \), we can use the following linear equation:
\[ y = mx + b \]
where:
- \( m \) is the rate of increase (the slope), which is \( 10,000 \) people per year,
- \( b \) is the current population, which is \( 2,760,065 \).
Since we are starting from the current population and looking at the increase over the years, we can express this as follows:
\[ y = 10,000x + 2,760,065 \]
In this equation:
- \( y \) is the total population after \( x \) years,
- \( 10,000x \) represents the increase in population after \( x \) years,
- \( 2,760,065 \) is the initial population.
Thus, the equation of the line that represents the total population is:
\[ y = 10,000x + 2,760,065 \]