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

Answer:

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

Step-by-step 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

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