Answer:
[tex]f(x) = \frac29 x +2[/tex]
Step-by-step explanation:
a linear function has the form [tex]y= ax+b[/tex]. We have two degrees of freedom (a and b) ad two condition. From the first one
[tex]f(0) = 2 \rightarrow a0+b = 2 \rightarrow b= 2[/tex]
From the second.
[tex]a(9)+2 = 4 \rightarrow 9a=2 \rightarrow a=\frac29[/tex]
Our function is thus
[tex]f(x) = \frac29 x +2[/tex]
