# What is the equation of the line with slope  m= -18/49  that passes through  (3/7, 10/21) ?

Apr 17, 2016

$y = - \frac{18}{49} x + \frac{544}{49}$

#### Explanation:

m=-18/49

$m = \frac{y - \frac{10}{21}}{x - \frac{3}{7}}$

$- \frac{18}{49} = \frac{\frac{21 y - 210}{21}}{\frac{7 x - 21}{7}}$

$- \frac{18}{49} = \frac{21 y - 210}{\cancel{\left(21\right)}} \cdot \frac{\cancel{\left(7\right)}}{7 x - 21}$

$- \frac{18}{49} = \frac{21 y - 210}{3 \left(7 x - 21\right)}$

$- \frac{18}{49} = \frac{21 y - 210}{21 x - 63}$

$- 18 \left(21 x - 63\right) = 49 \left(21 y - 210\right)$

$- 378 x + 1134 = 1029 y - 10290$

$1029 y = - 378 x + 1134 + 10290$

$1029 y = - 378 x + 11424$

$y = - \frac{378}{1029} x + \frac{11424}{1029}$

$y = - \frac{18}{49} x + \frac{544}{49}$
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