Rewrite the following equation in standard form. y = 5x + 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 = 5x + 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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Given Equation: Start with the given equation. y = 5x + 2 We need to rearrange this equation into the standard form, which is Ax + By = C.Rearrange Equation: Move the term 5x to the left side of the equation by subtracting 5x from both sides. y - 5x = 5x + 2 - 5x This simplifies to: -5x + y = 2Make Coefficient Positive: The standard form of a linear equation should have the x-term first, followed by the y-term, and then the constant. However, the coefficient of x should be positive. Multiply the entire equation by -1 to make the coefficient of x positive. -1(-5x + y) = -1(2) This simplifies to: 5x - y = -2Check Coefficients: To ensure that the coefficients are integers whose greatest common factor (GCF) is 1, we check the coefficients 5, -1, and the constant -2. The GCF of these numbers is indeed 1.

Rewrite the following equation in standard form. $\newline$ $y = 5x + 2$ $\newline$ 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=5x+2y = 5x + 2y=5x+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. $\newline$ $y = 5x + 2$ $\newline$ 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 $1$ .