# How do you find a standard form equation for the line with slope -2 and y-intercept 8?

Jun 20, 2018

$y = - 2 x + 8$

#### Explanation:

We have given

$y = m x + n$ where $m$ denotes the slope and $n$ is the y-intercept, so
$m = - 2$ and $n = 8$

Jun 20, 2018

$2 x + y = 8$

#### Explanation:

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

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

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

$\text{to begin with obtain the equation in "color(blue)"slope-intercept form}$

•color(white)(x)y=mx+b

$\text{where m is the slope and b the y-intercept}$

$\text{here "m=-2" and } b = 8$

$y = - 2 x + 8 \leftarrow \textcolor{red}{\text{in slope-intercept form}}$

$\text{add "2x" to both sides}$

$2 x + y = 8 \leftarrow \textcolor{red}{\text{in standard form}}$