Question

What is the equation of this trend line

Answer 1

K = - 2J + 24

Explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept, where line crosses y- axis )

calculate m using the slope formula

m =
`(y_(2)-y_(1) )/(x_(2)-x_(1) )`

with (x₁, y₁ ) = (0, 24) and (x₂, y₂ ) = (6, 12) ← 2 points on the line

m =
`(12-24)/(6-0)` =
`(-12)/(6)` = - 2

the line crosses the y- axis at (0, 24 ) ⇒ c = 24

y = - 2x + 24

convert y to K and x to J , in this case , then

K = - 2J + 24 ← equation of trend line