# What is the slope intercept form of the line passing through (3,-2)  with a slope of -1/5 ?

Mar 25, 2018

$y = - \frac{1}{5} x - \frac{7}{5}$

#### Explanation:

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

•color(white)(x)y=mx+b

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

$\text{here } m = - \frac{1}{5}$

$\Rightarrow y = - \frac{1}{5} x + b \leftarrow \textcolor{b l u e}{\text{is the partial equation}}$

$\text{to find b substitute "(3,-2)" into the partial equation}$

$- 2 = - \frac{3}{5} + b \Rightarrow b = - \frac{10}{5} + \frac{3}{5} = - \frac{7}{5}$

$\Rightarrow y = - \frac{1}{5} x - \frac{7}{5} \leftarrow \textcolor{red}{\text{in slope-intercept form}}$