# How do you write y-9=-6(x+9) in standard form?

Feb 15, 2017

$\textcolor{red}{6} x + \textcolor{b l u e}{1} y = \textcolor{g r e e n}{- 45}$

#### 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

We can transform this equation as follows:

$y - 9 = \left(- 6 \times x\right) - \left(6 \times 9\right)$

$y - 9 = - 6 x - 54$

$\textcolor{red}{6 x} + y - 9 + \textcolor{b l u e}{9} = \textcolor{red}{6 x} + - 6 x - 54 + \textcolor{b l u e}{9}$

$6 x + y - 0 = 0 - 45$

$\textcolor{red}{6} x + \textcolor{b l u e}{1} y = \textcolor{g r e e n}{- 45}$