# How do you find the slope and intercept to graph 2x + 3y = 6?

Mar 8, 2016

Slope of $2 x + 3 y = 6$ is $- \frac{2}{3}$ and intercept on $y$ axis is $2$

#### Explanation:

To find the slope and intercept to graph $2 x + 3 y = 6$, we need to convert the equation in slope-intercept form $y = m x + c$, where $m$ is slope and $c$ is its intercept on $y$ axis.

So, $2 x + 3 y = 6$ gives us $3 y = - 2 x + 6$

or dividing all by $3$, $y = - \frac{2}{3} x + 2$

Hence, slope of $2 x + 3 y = 6$ is $- \frac{2}{3}$ and intercept on $y$ axis is $2$.