# How do you write y = -3/4x-4 in standard form?

Jul 12, 2017

$3 x + 4 y = - 16$

#### Explanation:

$\text{the equation of a line in standard form is}$

$\textcolor{red}{\overline{\underline{| \textcolor{w h i t e}{\frac{2}{2}} \textcolor{b l a c k}{A x + B y = C} \textcolor{w h i t e}{\frac{2}{2}} |}}}$
where A is a positive integer and B, C are integers.

$\text{multiply all terms on both sides by } - 4$

$\Rightarrow - 4 y = 3 x + 16$

$\Rightarrow 3 x + 4 y = - 16 \leftarrow \textcolor{red}{\text{ in standard form}}$