Question

Find the slope of the linear function if f(4)=-1 and f(-2)=8

Answer 1

slope = -
`(3)/(2)`

Explanation:

f(4) = - 1 means when x = 4 then y = - 1

this gives the coordinate point (4, - 1)

similarly

f(- 2) = 8 means when x = - 2 then y = 8

this gives the coordinate point (- 2, 8 )

calculate the slope m using the slope formula

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

let (x₁, y₁ ) = (4, - 1 ) and (x₂, y₂ ) = (- 2, 8 )

substitute these values into the formula for m

m =
`(8-(-1))/(-2-4)` =
`(8+1)/(-6)` =
`(9)/(-6)` = -
`(3)/(2)`