# What is the equation of the line with slope  m= -5/17  that passes through  (-2,-11) ?

Dec 14, 2015

$\textcolor{w h i t e}{\times} y = - \frac{5}{17} x - \frac{197}{17}$

#### Explanation:

$\textcolor{w h i t e}{\times} y = m x + c$

$\implies y = \textcolor{red}{- \frac{5}{17}} x + c$

For $x = - 2$ and $y = - 11$,
$\textcolor{w h i t e}{\times} \textcolor{b l u e}{- 11} = - \frac{5}{17} \times \textcolor{b l u e}{- 2} + c$
$\implies - 11 \textcolor{red}{- \frac{10}{17}} = \frac{10}{17} + c \textcolor{red}{- \frac{10}{17}}$
$\implies c = \frac{- 187 - 10}{17}$
$\implies c = - \frac{197}{17}$

$\implies y = - \frac{5}{17} x - \frac{197}{17}$