# How do you find the slope and intercept for 3x+6y=-9?

May 7, 2017

Slope is $- \frac{1}{2}$ and $y$-intercept is $- \frac{3}{2}$.

#### Explanation:

The slope intercept form of equation of a line is $y = m x + c$, where $m$ is slope and $c$ is it's intercept on $y$ axis.

Hence, we should convert any equation of a line to the form $y = m x + c$ i.e. solve it for $y$ to get slope and $y$-intercept.

Hence, we can write the equation $3 x + 6 y = - 9$ as

$6 y = - 3 x - 9$

or $y = - \frac{3}{6} x - \frac{9}{6}$

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

Hence, slope is $- \frac{1}{2}$ and $y$-intercept is $- \frac{3}{2}$.

graph{3x+6y=-9 [-5, 5, -2.5, 2.5]}