Problem

Which shows this linear equation written in standard form?
\[
y=-2 x+4
\]
\[
-2 x+y=4
\]
$2 x+y=-4$
$-2 x+y=-4$
$2 x+y=4$
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Answer

Final Answer: The standard form of the given linear equation is \(\boxed{-2x - y = -4}\).

Steps

Step 1 :The standard form of a linear equation is given by \(Ax + By = C\), where \(A\), \(B\), and \(C\) are integers, and \(A\) and \(B\) are not both zero.

Step 2 :We are given the equation \(y = -2x + 4\).

Step 3 :To convert this equation to standard form, we add \(2x\) to both sides of the equation to get \(2x + y = 4\).

Step 4 :In standard form, the coefficient of \(x\) should be a positive integer. So, we multiply the entire equation by -1 to get \(-2x - y = -4\).

Step 5 :Therefore, the equation of the line in standard form is \(-2x - y = -4\).

Step 6 :Final Answer: The standard form of the given linear equation is \(\boxed{-2x - y = -4}\).

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