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

May 20, 2018

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

#### Explanation:

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

•color(white)(x)y=mx+b

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

$\text{rearrange "2x+3y=6" into this form}$

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

$\Rightarrow 3 y = - 2 x + 6$

$\text{divide all terms by 3}$

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

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