Questions: 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
Solution
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:
\[
\boxed{4x + y + 1 = 0}
\]