# What is the equation of the line with slope  m= -32/49  that passes through  (-6/7, 1/21) ?

Nov 23, 2015

$y = - \frac{32}{49} x - \frac{215}{147}$

#### Explanation:

$y = a x + b$
$\implies - \frac{32}{49} x + b$
$\implies \frac{1}{21} = \left(\frac{32}{49}\right) \left(\frac{6}{7}\right) + b$
$\implies b = \frac{1}{21} - \frac{74}{49}$
$b = - \frac{215}{147}$
$y = - \frac{32}{49} x - \frac{215}{147}$