# How do you find the slope and y intercept for: 2x+y=-16?

##### 2 Answers
Mar 12, 2018

$\text{slope "=-2," y-intercept } = - 16$

#### Explanation:

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

•color(white)(x)y=mx+b

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

$\text{Rearrange "2x+y=-16" into this form}$

$\text{subtract 2x from both sides}$

$\cancel{2 x} \cancel{- 2 x} + y = - 2 x - 16$

$\Rightarrow y = - 2 x - 16 \leftarrow \textcolor{b l u e}{\text{in slope-intercept form}}$

$\Rightarrow \text{slope "=m=-2," y-intercept } = b = - 16$

Mar 12, 2018

The slope is $- 2$ and the y-intercept is $- 16$.

#### Explanation:

$2 x + y = - 16$ is the standard form for a linear equation. Solve for $y$ to get the slope-intercept form:

$y = m x + b ,$

where:

$m$ is the slope and $b$ is the y-intercept.

Original equation:

$2 x + y = - 16$

Subtract $2 x$ from both sides of the equation.

$y = - 2 x - 16$

$m = - 2$ and $b = - 16$.