Answer:
y=-1110 x +14220
Step-by-step explanation:
We need two points to establish a linear equation.
The statement says that 'y' variable is the prize of the automobile in year x.
Considering that year 1993 as x=0, this means also that year 1997 is x=4.
By the statement we also know that when x=0, y=14220, and when x=4, y=9780
We can now write the equation of our line.
Remember: lines has the following general equation.
y=mx=b
Where m is the slope and b a point of interception with 'y'-axis.
If we evaluate the point (0,14220) in the expression we have this:
14220=b.
Now we need to find the slope using the following equation:
[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
where (x1,y1)= (0,14220) and (x2,y2)=(4, 9780)
We have m= -1110
y=-1110x +14220
