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 \(\boxed{-2x - y = -4}\).