Answer
$f(x)=-\frac{1}{4}x+6$
Work Step by Step
A linear function has the form $f(x)=ax+b$, with $a=$slope and $b=$y-intercept.
We calculate the slope from $x=0$ to $x=2$ using the table:
$\frac{f(2)-f(0)}{2-0}=\frac{5.5-6}{2}=-\frac{0.5}{2}=-\frac{1}{4}$
We can find the $y$-intercept by looking at the $y$ value at $x=0$:
$f(0)=6$
Therefore, the equation is: $f(x)=-\frac{1}{4}x+6$.
