Answer:
y=2,500x+26,000
Step-by-step explanation:
The slope intercept form of the line is y=mx+b where m is the slope and b is the y-intercept.
First calculate the slope using [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] and the points (0, 26,000) and (2, 31,000). Since 2006 is the starting year in the table, it is 0 and 2008 is 2 for 2 years later[tex]m=\frac{31,000-26,000}{2-0} = \frac{5,000}{2} = 2,500[/tex].\
Since the slope is 2,500 then substitute it into the point slope form [tex]y-y_1=m(x-x_1)\\y-31,000=2,500(x-2)\\y-31,000=2,500x-5,000\\y=2,500x+26,000[/tex]
