# How do you write an equation in slope intercept form: m=-2/3 point: (6,2)?

May 3, 2018

$y = - \frac{2}{3} x + 6$

#### Explanation:

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

•color(white)(x)y=mx+b

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

$\text{here } m = - \frac{2}{3}$

$\Rightarrow y = - \frac{2}{3} x + b \leftarrow \textcolor{b l u e}{\text{is the partial equation}}$

$\text{to find b substitute "(6,2)" into the partial equation}$

$2 = - 4 + b \Rightarrow b = 2 + 4 = 6$

$\Rightarrow y = - \frac{2}{3} x + 6 \leftarrow \textcolor{red}{\text{in slope-intercept form}}$