Question

rewrite the following equation in standard form.
$y = -3x - 6$

Explanation:

Step1: Recall standard form

The standard form of a linear equation is \(Ax + By = C\), where \(A\), \(B\), and \(C\) are integers, and \(A\geq0\).

Step2: Rearrange the given equation

We start with \(y = -3x - 6\). To get it into standard form, we add \(3x\) to both sides of the equation.
\(3x + y = -3x - 6 + 3x\)

Step3: Simplify the equation

Simplifying the right side, the \(-3x\) and \(+3x\) cancel out, leaving us with \(3x + y = -6\).

Answer:

\(3x + y = -6\)