Question

Please help with trend lines

Answer 1

Answer:

$K=-2J+24$

Step-by-step explanation:

Trend line passes through the points (6,12) and (4,16).

Find the slope of the line:

$m=\dfrac{K_2-K_1}{J_2-J_1}=\dfrac{16-12}{4-6}=\dfrac{4}{-2}=-2$

Write the equation of the line in the form $K=mJ+b,$ where the slope $m=-2:$

$K=-2J+b$

This line passes through the point (6,12), then its coordinates satisfy the equation:

$12=-2\cdot 6+b\\ \\12=-12+b\\ \\b=12+12\\ \\b=24\\ \\K=-2J+24$