From the graph it is clear that the line passes through (0,9) and (7,2) so the equation is:
[tex]\begin{gathered} \frac{y-y_1}{x-x_1}=\frac{y_1-y_2}{x_1-x_2} \\ \frac{y-9}{x-0}=\frac{9-2}{0-7} \\ \frac{y-9}{x}=\frac{7}{-7} \\ \frac{y-9}{x}=-1 \\ y-9=-x \\ y=-x+9 \end{gathered}[/tex]
Here y represents the value and x represents the Years.
The Value of the machine first year is calculated by substituting x=1 in the equation as follows:
[tex]\begin{gathered} y=-1+9 \\ y=8 \end{gathered}[/tex]
Hence the value of the machine is 8000 dollars.
the loss in value is:
[tex]9000-8000=1000[/tex]
Hence the loss in value is 1000 dollars.
