Rewrite the following equation in standard form. y = 6x + 2 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 = 6x + 2  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: Identify the given equation and the standard form requirement. The given equation is y = 6x + 2. 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: Move the term involving x to the other side of the equation to isolate the constant term on one side. To do this, we subtract 6x from both sides of the equation: y - 6x = 6x + 2 - 6x This simplifies to: y - 6x = 2Rearrange for 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: -6x + y = 2Ensure Non-Negative Coefficient: Ensure that the coefficient of x is non-negative. If we multiply the entire equation by -1, we get: 6x - y = -2 However, this step is not necessary because the standard form does not require A to be positive, only non-negative. Therefore, we can leave the equation as -6x + y = 2.Check GCF: Check if the coefficients have a GCF other than 1. The coefficients are -6, 1, and 2. The GCF of these numbers is 1.

Rewrite the following equation in standard form. $\newline$ $y = 6x + 2$ $\newline$ 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=6x+2y = 6x + 2y=6x+2\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. $\newline$ $y = 6x + 2$ $\newline$ 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 $1$ .