mikaelasedillo mikaelasedillo
  • 22-03-2022
  • Mathematics
contestada

Suppose f is a linear function such that f(4) = 8 and f(7) = 3. Find the equation for f

Respuesta :

ghanami
ghanami ghanami
  • 27-03-2022

Answer:

f(x) = -5/3 x +44/3

Step-by-step explanation:

helo :   let  f(x)= ax+b

f(4) = 8   means : a(4)+b=8 and f(7) = 3   means : a(7)+b=3

you have this system :  4a +b = 8....(*)

                                      7a+b = 3 ....(**)

solve this system  use (*) : b = 8 -4a   and use (**) : b = 3-7a

so : 8-4a = 3-7a

-4a+7a = 3-8

3a = -5   so a = -5/3

but b =8-4a     so : b= 8-4(-5/3) =8+20/3  =44/3

f(x) = -5/3 x +44/3

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