# What is y= 2x+6 written using the standard form of the equation of a line?

Jun 24, 2015

Standard form: $2 x - y = - 6$

#### Explanation:

"Standard form" of a linear equation is
$\textcolor{w h i t e}{\text{XXXX}}$$A x + B y = C$
$\textcolor{w h i t e}{\text{XXXX}}$$\textcolor{w h i t e}{\text{XXXX}}$with integer constant values for $A , B , \mathmr{and} C$ and $A \ge 0$

$y = 2 x + 6$ can be converted into this form
subtract $2 x$ from both sides
$\textcolor{w h i t e}{\text{XXXX}}$$- 2 x + y = 6$
multiply both sides by $\left(- 1\right)$
$\textcolor{w h i t e}{\text{XXXX}}$$2 x - y = - 6$

(technically you might want to write this as $2 x - 1 y = - 6$ but the default $1$ is commonly omitted).