Question

Write a linear function f with the values f(0)=2 and f(9)=4. a function is f (x) =

plz help

Answer 1

`f(x) = \frac29 x +2`

Explanation:

a linear function has the form
`y= ax+b`. We have two degrees of freedom (a and b) ad two condition. From the first one

`f(0) = 2 \rightarrow a0+b = 2 \rightarrow b= 2`

From the second.

`a(9)+2 = 4 \rightarrow 9a=2 \rightarrow a=\frac29`

Our function is thus

`f(x) = \frac29 x +2`