The value of your car one year after you purchased was $12,500. four years after you purchased it, the cars value was $8,100?

 The value of your car one year after you purchased it was $12,500. 
 Four years after you purchased it, the car's value was $8,100.
 a) 
 Write two ordered pairs of the form 
 (number of years after purchase, value of the car).
 Car value one year after purchase was $12,500
 Its value four years after purchase was $8,100
 b). 
 Algebraically calculate the slope of the line between these two points. 
 c). 
 Interpret the slope as a rate of change....Show more

First represent each value as an ordered pair (aka a "point").

Year 1 = 12500 --> (1, 12500)
Year 4 = 8100 --> (4, 8100)

If you have two points, the slope is calculated as change in y divided by change in x.
m = (y2 - y1) / (x2 - x1)
m = (8100 - 12500) / (4 - 1)
m = -4400 / 3
m = -1466.66666...

It means that the value of the car goes down by about $1466.67 per year....Show more