Find slope
[tex]\\ \tt\hookrightarrow m=\dfrac{24-30}{1-0}=\dfrac{-6}{1}=-6[/tex]
Equation of line in point slope form
[tex]\\ \tt\hookrightarrow y-y_1=m(x-x_1)[/tex]
[tex]\\ \tt\hookrightarrow y-30=-6(x-0)[/tex]
[tex]\\ \tt\hookrightarrow y-30=-6x[/tex]
- Convert to slope intercept form y=mx+b
[tex]\\ \tt\hookrightarrow y=-6x+30[/tex]
After 2years:-
[tex]\\ \tt\hookrightarrow y=-6(2)+30=-12+30=18000\$[/tex]
After 8years:-
[tex]\\ \tt\hookrightarrow y=-6(8)+30=-48+30=-18[/tex]
- But We can see that line is parallel to x axis right after x=7
So
- The value will be equal to y axis i.e y=5
So the value after 8years is 5000$
