The problem asks us to rewrite the given equation $y = -7x - 1$ in standard form. The standard form of a linear equation is given as $Ax + By = C$, where $A$, $B$, and $C$ are integers and $A$ and $B$ are not both zero, and the greatest common factor (GCF) of $A, B, C$ is 1.

1. Problem Description

The problem asks us to rewrite the given equation $y = -7x - 1$ in standard form. The standard form of a linear equation is given as $Ax + By = C$, where $A$, $B$, and $C$ are integers and $A$ and $B$ are not both zero, and the greatest common factor (GCF) of $A, B, C$ is

1.

2. Solution Steps

We are given the equation $y = -7x - 1$. To rewrite this equation in standard form $Ax + By = C$, we need to move the $-7x$ term to the left side of the equation. We can do this by adding $7x$ to both sides of the equation:

$y + 7x = -7x - 1 + 7x$

$7x + y = -1$

Here, $A = 7$, $B = 1$, and $C = -1$. The integers $7$, $1$, and $-1$ have a greatest common factor of

1.

3. Final Answer

$7x + y = -1$