# What is the equation of the line with slope  m= 12/11  that passes through  (-3,-8) ?

May 14, 2018

$y = \frac{12}{11} x - \frac{52}{11}$

#### Explanation:

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

•color(white)(x)y=mx+b

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

$\text{here } m = \frac{12}{11}$

$\Rightarrow y = \frac{12}{11} x + b \leftarrow \textcolor{b l u e}{\text{is the partial equation}}$

$\text{to find b substitute "(-3,-8)" into the partial equation}$

$- 8 = - \frac{36}{11} + b \Rightarrow b = - \frac{88}{11} + \frac{36}{11} = - \frac{52}{11}$

$\Rightarrow y = \frac{11}{12} x - \frac{52}{11} \leftarrow \textcolor{red}{\text{is the equation of line}}$