# How do you find the slope and intercept of -3x=6y+18?

##### 1 Answer
May 8, 2018

$\text{slope "=-1/2," y-intercept } = - 3$

#### Explanation:

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

•color(white)(x)y=mx+b

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

$\text{rearrange "-3x=6y+18" into this form}$

$\text{subtract 18 from both sides}$

$- 3 x - 18 = 6 y$

$\text{divide all terms by 6}$

$- \frac{1}{2} x - 3 = y$

$\Rightarrow y = - \frac{1}{2} x - 3 \leftarrow \textcolor{b l u e}{\text{in slope-intercept form}}$

$\text{with slope "=-1/2" and y-intercept } = - 3$