Question

What is the rate of change for a linear function containing the points 2,12 and 6,6?

Answer 1

-
`(3)/(2)`

Explanation:

the slope m between the 2 points is a measure of the rate of change

calculate m using the slope formula

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

with (x₁, y₁ ) = (2, 12 ) and (x₂, y₂ ) = (6, 6 )

m =
`(6-12)/(6-2)` =
`(-6)/(4)` = -
`(3)/(2)` ← rate of change