Rewrite the following equation in standard form. y = 2x + 8 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 = 2x + 8  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 = 2x + 8. 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 2x from both sides of the equation: y - 2x = 2x + 8 - 2x This simplifies to: y - 2x = 8Rearrange 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, so we rewrite the equation as: -2x + y = 8Ensure Non-Negative Coefficient: Ensure that the coefficient of x is non-negative. Since standard form prefers a non-negative A, we multiply the entire equation by -1 to make the coefficient of x positive: -1(-2x + y) = -1(8) This simplifies to: 2x - y = -8Check GCF: Check if the coefficients have a GCF other than 1. The coefficients are 2, -1, and -8. The GCF of these numbers is 1.Final Standard Form: Since the GCF is 1, we have the equation in standard form. The final standard form of the equation is: 2x - y = -8

Rewrite the following equation in standard form. $\newline$ $y = 2x + 8$ $\newline$ 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=2x+8y = 2x + 8y=2x+8\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. $\newline$ $y = 2x + 8$ $\newline$ 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 $1$ .