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

Jan 25, 2017

$3 x + y - 5 = 0$

#### Explanation:

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

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

$\text{Rearrange "y=5-3x" into this form}$

$y + 3 x = 5 \cancel{- 3 x} \cancel{+ 3 x}$

$\Rightarrow y + 3 x = 5$

subtract 5 from both sides.

$y + 3 x - 5 = 5 - 5$

$\Rightarrow y + 3 x - 5 = 0$

and expressing in standard form.

$3 x + y - 5 = 0 \leftarrow \textcolor{red}{\text{ in standard form}}$