# How do you write the equation of a line y+1=5(x-9) in standard from?

May 3, 2018

$y = 5 x - 46$

#### Explanation:

Stand form of equation is $y = m x + c$

$y + 1 = 5 \left(x - 9\right)$ -----> simplify this equation
$y + 1 = 5 x - 45$-----> subtract -1 in both sides
$y = 5 x - 45 - 1$
$y = 5 x - 46$

May 3, 2018

$5 x - y = 46$

#### Explanation:

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

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

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

$\text{rearrange "y+1=5(x-9)" into this form}$

$\Rightarrow y + 1 = 5 x - 45$

$\text{subtract "y" and add 45 to both sides gives}$

$5 x - y = 46 \leftarrow \textcolor{red}{\text{in standard form}}$