# How do you rewrite 9x+3y=6 in function notation?

Dec 8, 2014

By solving for $y$.

$9 x + 3 y = 6$

Subtract $9 x$ from both sides.

$9 x + 3 y - 9 x = 6 - 9 x$

Simplify

$3 y = - 9 x + 6$

Divide by 3

$\frac{3 y}{3} = - \frac{9 x}{3} + \frac{6}{3}$

So...

$y = - 3 x + 2$

since $y$ can be replaced with $f \left(x\right)$, then your final answer is

$f \left(x\right) = - 3 x + 2$