Answer:
[tex]k=-2j+24[/tex]
Step-by-step explanation:
Take two points from the graph
(0,24) and (6,12)
Find the slope
The formula to calculate the slope between two points is equal to
[tex]m=\frac{k2-k1}{j2-j1}[/tex]
substitute
[tex]m=\frac{12-24}{6-0}[/tex]
[tex]m=\frac{-12}{6}=-2[/tex] ---> is negative because is a decreasing function
Find the equation of the line in slope intercept form
[tex]k=mj+b[/tex]
we have
[tex]m=-2\\b=24[/tex]
Note: The y-intercept is given (0,24)
substitute
[tex]k=-2j+24[/tex]
