Does the equation \( 9 x-3 y=9 \) represent \( y \) as a function of \( x \) ?

To determine if the equation \( 9x - 3y = 9 \) represents \( y \) as a function of \( x \), we can solve for \( y \) in terms of \( x \). Starting with the equation: \[ 9x - 3y = 9 \] we can isolate \( y \) by first moving \( 9x \) to the other side: \[ -3y = 9 - 9x \] Next, we divide both sides by \(-3\): \[ y = \frac{9 - 9x}{-3} \] This simplifies to: \[ y = -3 + 3x \] or equivalently: \[ y = 3x - 3 \] This equation expresses \( y \) explicitly in terms of \( x \). Since for every value of \( x \), there is exactly one corresponding value of \( y \), we can conclude that \( y \) is indeed a function of \( x \). Thus, the equation \( 9x - 3y = 9 \) does represent \( y \) as a function of \( x \).