Rewrite the following equation in standard form. y = 4x + 1 Hint: The standard form of a linear equation is Ax + By = C where A and B are not both zero, and A, B, and C are integers whose GCF is 1. _____

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Rewrite the following equation in standard form.  y = 4x + 1  Hint: The standard form of a linear equation is  Ax + By = C where A and B are not both zero, and A, B, and C are integers whose GCF is 1.  _____

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Identify Equation & Requirement: Identify the given equation and the standard form requirement. The given equation is y = 4x + 1, and we need to rewrite it in the standard form Ax + By = C, where A, B, and C are integers with a greatest common factor (GCF) of 1, and A should be non-negative.Rearrange Equation: Rearrange the equation to get terms involving x and y on one side and the constant on the other side. To do this, we will subtract 4x from both sides of the equation to move the term involving x to the left side. y - 4x = 1 However, the standard form requires the x term to be before the y term, so we rewrite it as: -4x + y = 1Ensure Non-Negative Coefficient: Ensure that the coefficient of x is non-negative. The standard form prefers the coefficient of x to be positive. If it is negative, we can multiply the entire equation by -1 to make it positive. Multiplying by -1, we get: 4x - y = -1Check Coefficients & GCF: Check if the coefficients are integers with a GCF of 1. The coefficients 4, -1, and the constant -1 are integers, and their GCF is 1.

Rewrite the following equation in standard form. $\newline$ $y = 4x + 1$ $\newline$ Hint: The standard form of a linear equation is $Ax + By = C$ where $A$ and $B$ are not both zero, and $A$ , $B$ , and $C$ are integers whose GCF is $1$ .

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Rewrite the following equation in standard form.\newliney=4x+1y = 4x + 1y=4x+1\newlineHint: The standard form of a linear equation is Ax+By=CAx + By = CAx+By=C where AAA and BBB are not both zero, and AAA, BBB, and CCC are integers whose GCF is 111.

Rewrite the following equation in standard form. $\newline$ $y = 4x + 1$ $\newline$ Hint: The standard form of a linear equation is $Ax + By = C$ where $A$ and $B$ are not both zero, and $A$ , $B$ , and $C$ are integers whose GCF is $1$ .