We are asked to rewrite the given linear equation $y = -9x + 1$ in the standard form $Ax + By = C$, where $A$, $B$, and $C$ are integers and $A$ is non-negative and the greatest common factor (GCF) of $A, B, C$ is 1.

1. Problem Description

We are asked to rewrite the given linear equation $y = -9x + 1$ in the standard form $Ax + By = C$, where $A$, $B$, and $C$ are integers and $A$ is non-negative and the greatest common factor (GCF) of $A, B, C$ is

1.

2. Solution Steps

We start with the given equation:

$y = -9x + 1$

To rewrite this in standard form $Ax + By = C$, we need to move the term with $x$ to the left side of the equation. We can do this by adding $9x$ to both sides:

$y + 9x = -9x + 1 + 9x$

$9x + y = 1$

Now the equation is in the form $Ax + By = C$, where $A = 9$, $B = 1$, and $C = 1$. Since the coefficients are integers and the greatest common factor of 9, 1, and 1 is 1, this equation is in standard form.

3. Final Answer

$9x + y = 1$