Rewrite the following equation in standard form. y = 6x 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 = 6x  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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Start with given equation: To rewrite the equation in standard form, we need to move all terms involving variables to one side of the equation and the constant to the other side. We start with the given equation: y = 6x - 8Move x-term to left: We want to get the equation into the form Ax + By = C. To do this, we will subtract 6x from both sides of the equation to move the x-term to the left side: y - 6x = -8Rearrange terms: However, the standard form typically has the x-term before the y-term, so we should rearrange the terms to reflect this: -6x + y = -8Make A positive: Now, we have the equation in the form Ax + By = C, but we need to ensure that A is a positive integer. To do this, we can multiply the entire equation by -1 to get the A term positive: (-1)(-6x) + (-1)(y) = (-1)(-8) 6x - y = 8Check coefficients: Finally, we check that the coefficients A, B, and C are integers whose greatest common factor (GCF) is 1. In this case, the coefficients are 6, -1, and 8. The GCF of these numbers is 1, so we have the equation in the correct form.

Rewrite the following equation in standard form. $\newline$ $y = 6x + 8$ $\newline$ 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=6x+8y = 6x + 8y=6x+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. $\newline$ $y = 6x + 8$ $\newline$ 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 $1$ .