Rewrite the following equation in standard form. y = 7x + 4 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 = 7x + 4  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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Rearrange equation for standard form: To rewrite the equation y = 7x + 4 in standard form, we need to rearrange the terms so that the x and y terms are on one side of the equation and the constant is on the other side. We want it in the form Ax + By = C.Subtract x term from both sides: The given equation is y = 7x + 4. To get it into standard form, we need to subtract 7x from both sides of the equation to move the x term to the left side.Adjust x coefficient to be positive: Subtracting 7x from both sides gives us -7x + y = 4. This is almost in standard form, but we typically want the x coefficient to be positive.Multiply equation by -1: To make the x coefficient positive, we can multiply the entire equation by -1. This gives us 7x - y = -4.Check coefficients for GCF: Now the equation is in standard form, Ax + By = C, with A = 7, B = -1, and C = -4. We need to check that A, B, and C are integers whose greatest common factor (GCF) is 1.Verify standard form conversion: The GCF of 7, -1, and -4 is indeed 1, so we have successfully rewritten the equation in standard form without any math errors.

Determine the standard form of the following equation: $\newline$ $y = 7x + 4$

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Determine the standard form of the following equation: $\newline$ $y = 7x + 4$