Question

The graph of a linear function passes through the two given points on the coordinate plane. (3,15) (6,21) What is the rate of change of the function?

Answer 1

rate of change = 2

Explanation:

the slope m of the linear function is a measure of the rate of change

calculate m using the slope formula

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

let (x₁, y₁ ) = (3, 15 ) and (x₂, y₂ ) = (6, 21 )

substitute these values into the formula for m

m =
`(21-15)/(6-3)` =
`(6)/(3)` = 2