# How do you write y + 5 = -5(x - 3) in standard form?

Jan 21, 2017

$y + 5 x - 10 = 0$

#### Explanation:

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

$\textcolor{red}{\overline{\underline{| \textcolor{w h i t e}{\frac{2}{2}} \textcolor{b l a c k}{a x + b y + c = 0} \textcolor{w h i t e}{\frac{2}{2}} |}}}$

Arranging the given equation into this form.

distribute the bracket.

$\Rightarrow y + 5 = - 5 x + 15$

$y + 5 x + 5 = \cancel{- 5 x} \cancel{+ 5 x} + 15$
$\Rightarrow y + 5 x + 5 = 15$
$y + 5 x + 5 - 15 = \cancel{15} \cancel{- 15}$
$\Rightarrow y + 5 x - 10 = 0 \leftarrow \textcolor{red}{\text{ in standard form}}$