The problem asks to rewrite the equation $y = -2x + 1$ in standard form. The standard form of a linear equation is $Ax + By = C$, where A, B, and C are integers, A and B are not both zero, and the greatest common factor (GCF) of A, B, and C is 1.

1. Problem Description

The problem asks to rewrite the equation $y = -2x + 1$ in standard form. The standard form of a linear equation is $Ax + By = C$, where A, B, and C are integers, A and B are not both zero, and the greatest common factor (GCF) of A, B, and C is

1.

2. Solution Steps

Starting with the given equation $y = -2x + 1$, we want to rearrange it into the form $Ax + By = C$.

To achieve this, we can add $2x$ to both sides of the equation:

$y + 2x = -2x + 1 + 2x$

$2x + y = 1$

Here, we have $A = 2$, $B = 1$, and $C = 1$.

Since $A$, $B$, and $C$ are integers, and the greatest common factor of 2, 1, and 1 is 1, this is the standard form of the given linear equation.

3. Final Answer

$2x + y = 1$