Rewrite the following equation in standard form. y = 4x + 10 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 = 4x + 10  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 = 4x + 10 We need to rearrange this equation into the standard form, which is Ax + By = C.Rearrange Equation: Move the term 4x to the left side of the equation by subtracting 4x from both sides. y - 4x = 4x + 10 - 4x This simplifies to: -4x + y = 10Make 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(-4x + y) = -1(10) This simplifies to: 4x - y = -10Check Coefficients: Check that the coefficients are integers and that their greatest common factor (GCF) is 1. The coefficients are 4, -1, and -10. The GCF of these numbers is 1.

Rewrite the following equation in standard form. $\newline$ $y = 4x + 10$ $\newline$ 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. $\newline$ $y = 4x + 10$ $\newline$ 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 $1$ . $\newline$ _____