# How do you write y=12x in standard form and what is A, B, C?

Apr 13, 2017

See the entire solution process below:

#### Explanation:

The standard form of a linear equation is: $\textcolor{red}{A} x + \textcolor{b l u e}{B} y = \textcolor{g r e e n}{C}$

Where, if at all possible, $\textcolor{red}{A}$, $\textcolor{b l u e}{B}$, and $\textcolor{g r e e n}{C}$are integers, and A is non-negative, and, A, B, and C have no common factors other than 1

First, subtract $\textcolor{red}{12 x}$ from each side of the equation to place both the $x$ and $y$ term on the left side of the equation as required by the standard form:

$- \textcolor{red}{12 x} + y = - \textcolor{red}{12 x} + 12 x$

$- 12 x + y = 0$

Because the $x$ coefficient must be positive we will multiply each side of the equation by $\textcolor{red}{- 1}$:

$\textcolor{red}{- 1} \left(- 12 x + y\right) = \textcolor{red}{- 1} \times 0$

$\left(\textcolor{red}{- 1} \times - 12 x\right) + \left(\textcolor{red}{- 1} \times y\right) = 0$

$\textcolor{red}{12} x - \textcolor{b l u e}{1} y = \textcolor{g r e e n}{0}$

$\textcolor{red}{A = 12}$

$\textcolor{b l u e}{B = - 1}$

$\textcolor{g r e e n}{C = 0}$