To write the equation of the line that represents the total population, \( y \), in terms of years, \( x \), we can use the slope-intercept form of the equation of a line:
\[ y = mx + b \]
where:
- \( m \) is the slope (the rate of increase in population),
- \( b \) is the y-intercept (the current population).
In this case:
- The current population (y-intercept, \( b \)) is \( 2,760,065 \).
- The population is increasing at a rate of \( 10,000 \) people per year (slope, \( m \)).
Thus, the equation becomes:
\[ y = 10,000x + 2,760,065 \]
Here, \( y \) represents the population of the city after \( x \) years.