# What is the equation of the line with slope  m= -36/49  that passes through  (22/7, -47/21) ?

Mar 24, 2018

$y = - \frac{36}{49} x + \frac{73}{1029}$

#### Explanation:

The general idea is to use this formula and just substitute the point e the slope:
$y - {y}_{p} = m \left(x - {x}_{p}\right)$

Hence we get:
$y - \left(- \frac{47}{21}\right) = - \frac{36}{49} \left(x - \frac{22}{7}\right)$

$y + \frac{47}{21} = - \frac{36}{49} x + \frac{792}{343}$

$y = - \frac{36}{49} x + \frac{792}{343} - \frac{47}{21}$

The LCD is $1029$
$y = - \frac{36}{49} x + \frac{2376 - 2303}{1029}$

The final equation is:
$y = - \frac{36}{49} x + \frac{73}{1029}$