Rewrite the following equation in standard form. y = 3x + 4 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 = 3x + 4  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 = 3x + 4. 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.Move Term to Isolate Constant: Move the term involving x to the other side of the equation to isolate the constant on one side. To do this, we subtract 3x from both sides of the equation. y - 3x = 3x + 4 - 3x This simplifies to: y - 3x = 4Rearrange Terms to Standard Form: Rearrange the terms to match the standard form Ax + By = C. We want the x term first, followed by the y term, equaling the constant. -3x + y = 4Ensure Non-Negative Coefficient: Ensure that the coefficient of x is non-negative. If the coefficient of x is negative, we can multiply the entire equation by -1 to make it positive. However, in this case, it is not necessary because we can simply reorder the terms without changing their signs. So, we rewrite the equation as: 3x - y = -4Check for GCF: Check if the coefficients have a GCF other than 1. The coefficients are 3, -1, and -4. The GCF of these numbers is 1, so we do not need to divide the entire equation by any number to reduce the coefficients.

Rewrite the following equation in standard form. $\newline$ $y = 3x + 4$ $\newline$ 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 $1$ . $\newline$ _____

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Rewrite the following equation in standard form.\newliney=3x+4y = 3x + 4y=3x+4\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.\newline_____

Rewrite the following equation in standard form. $\newline$ $y = 3x + 4$ $\newline$ 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 $1$ . $\newline$ _____