Question

What is the equation of this trend line? Enter your answers by filling in the boxes.

Answer 1

Answer:

$k=-2j+24$

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

$m=\frac{k2-k1}{j2-j1}$

substitute

$m=\frac{12-24}{6-0}$

$m=\frac{-12}{6}=-2$ ---> is negative because is a decreasing function

Find the equation of the line in slope intercept form

$k=mj+b$

we have

$m=-2\\b=24$

Note: The y-intercept is given (0,24)

substitute

$k=-2j+24$