How do you write y-6=-3(x+2) in standard form?

Mar 24, 2017

$3 x + y = 0$

Explanation:

The equation of a line in $\textcolor{b l u e}{\text{standard form}}$ is.

$\textcolor{red}{\overline{\underline{| \textcolor{w h i t e}{\frac{2}{2}} \textcolor{b l a c k}{A x + B y = C} \textcolor{w h i t e}{\frac{2}{2}} |}}}$
where A is a positive integer and B, C are integers.

$\text{Rearrange " y-6=-3(x+2)" into this form}$

distribute and simplify.

$\Rightarrow y - 6 = - 3 x - 6$

$3 x + y - 6 = \cancel{- 3 x} \cancel{+ 3 x} - 6$
$\Rightarrow 3 x + y - 6 = - 6$
$3 x + y \cancel{- 6} \cancel{+ 6} = - 6 + 6$
$\Rightarrow 3 x + y = 0 \leftarrow \textcolor{red}{\text{ in standard form}}$