Question

Write a linear function f with the given values. f(0) = -2,f(4) = -3

А
f(x) = {x+5
B f(x) = x
c f(x) = x-5
D f(x) = 2x - 5

Answer 1

f(x) =
`-(1)/(4)` x - 2

Explanation:

Slope of the line: m =
`(y_(2) -y_(1) )/(x_(2) -x_(1) )`

y -
`y_(1)` = m( x -
`x_(1)` )

f(x) = mx + b (b - is y-intercept)

(0, - 2) Coordinates of y-intercept

(4, - 3)

m =
`(-3+2)/(4-0)` =
`-(1)/(4)`

f(x) =
`-(1)/(4)` x - 2