# Question #48fac

Mar 20, 2017

$3 x + y = - 3$

#### 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 A, B are integers.

$\text{Rearrange " y+9=-3(x-2)" into this form}$

$\Rightarrow y + 9 = - 3 x + 6 \leftarrow \text{ distribute bracket}$

$3 x + y + 9 = \cancel{- 3 x} \cancel{+ 3 x} + 6$
$\Rightarrow 3 x + y + 9 = 6$
$3 x + y \cancel{+ 9} \cancel{- 9} = 6 - 9$
$\Rightarrow 3 x + y = - 3 \leftarrow \textcolor{red}{\text{ in standard form}}$