# What is the equation of the line with slope  m= -3/7  that passes through  (12,-5) ?

Dec 13, 2015

$\textcolor{w h i t e}{x} y = - \frac{3}{7} x - \frac{1}{7}$

#### Explanation:

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

$\implies y = \textcolor{red}{- \frac{3}{7}} \times x + c$

For $x = 12$ and $y = - 5$,
$\textcolor{w h i t e}{x} - 5 = \left(- \frac{3}{7}\right) \times 12 + c$
$\implies - 5 = - \frac{3 \times 12}{7} + c$
$\implies c = 5 - \frac{3 \times 12}{7}$
$\implies c = - \frac{1}{7}$

Quation is:
$\implies y = - \frac{3}{7} x - \frac{1}{7}$