Rewrite the following equation in standard form. y = 5x + 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 = 5x + 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 & Standard Form: Identify the given equation and the standard form requirement. The given equation is y = 5x + 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.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 5x from both sides of the equation to move the x term to the left side. y - 5x = 5x + 8 - 5x This simplifies to: -5x + y = 8Ensure Non-Negative Coefficient: Ensure that the coefficient of x is non-negative. The standard form prefers the coefficient of x to be positive. To achieve this, we can multiply the entire equation by -1. -1(-5x + y) = -1(8) This simplifies to: 5x - y = -8Check GCF of Coefficients: Check if the coefficients have a GCF other than 1. The coefficients of the equation 5x - y = -8 are 5, -1, and -8. The GCF of these numbers is 1.Write Final Equation: Write the final equation in standard form. The equation is now in standard form with A = 5, B = -1, and C = -8. The final standard form of the equation is: 5x - y = -8

Rewrite the following equation in standard form. $\newline$ $y = 5x + 8$ $\newline$ 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 $1$ . $\newline$ _____

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Rewrite the following equation in standard form.\newliney=5x+8y = 5x + 8y=5x+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.\newline_____

Rewrite the following equation in standard form. $\newline$ $y = 5x + 8$ $\newline$ 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 $1$ . $\newline$ _____