# How do you write 4x=8y-12 in standard form and what is A, B, C?

Mar 30, 2018

$4 x - 8 y = - 12$

#### Explanation:

$\text{the equation of a line in "color(blue)"standard form}$ is.

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

$\text{where A is a positive integer and B, C are integers}$

$\text{given } 4 x = 8 y - 12$

$\text{subtract 8y from both sides}$

$> 4 x - 8 y = \cancel{8 y} \cancel{- 8 y} - 12$

$\Rightarrow 4 x - 8 y = - 12 \leftarrow \textcolor{b l u e}{\text{in standard form}}$

$\text{with "A=4,B=-8" and } C = - 12$