Question

Find the slope-intercept form of a line that passes through these two data points.

Answer 1

y=2,500x+26,000

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
`m=(y_2-y_1)/(x_2-x_1)` 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
`m=(31,000-26,000)/(2-0) = (5,000)/(2) = 2,500`.\

Since the slope is 2,500 then substitute it into the point slope form
`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`