# How do you write y=-3x+4 in standard form and what is A, B, C?

Jun 26, 2018

$3 x + y = 4$

#### Explanation:

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

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

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

$\text{rearrange "y=-3x+4" into this form}$

$\text{add "3x" to both sides}$

$3 x + y = \cancel{- 3 x} \cancel{+ 3 x} + 4$

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

$\text{with "A=3,B=1" and } C = 4$