Questions: Rewrite the following equation in standard form. y = -4x - 1

Rewrite the following equation in standard form.
y = -4x - 1
Transcript text: Rewrite the following equation in standard form. \[ y=-4 x-1 \] $\square$ Submit
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Solution

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Solution Steps

Step 1: Identify the given equation

The given equation is: \[ y = -4x - 1 \]

Step 2: Rewrite the equation in standard form

The standard form of a linear equation is: \[ Ax + By + C = 0 \] where \(A\), \(B\), and \(C\) are integers, and \(A\) is non-negative.

To rewrite the given equation in standard form, we move all terms to one side of the equation: \[ y + 4x + 1 = 0 \]

Step 3: Arrange the terms in the correct order

The standard form requires the \(x\)-term to come first, followed by the \(y\)-term, and then the constant term. Thus, the equation becomes: \[ 4x + y + 1 = 0 \]

Final Answer

The equation in standard form is: \[ \boxed{4x + y + 1 = 0} \]

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