# What is the equation of the line with slope  m= -4/7  that passes through  (3/4,9/7) ?

Jul 5, 2018

color(maroon)(16x + 49y = 75

#### Explanation:

$y - {y}_{1} = m \cdot \left(x - {x}_{1}\right)$

$\left({x}_{1} , {y}_{1}\right) = \left(\frac{3}{4} , \frac{9}{7}\right) , \text{ Slope } m = - \frac{4}{7}$

$y - \frac{9}{7} = - \left(\frac{4}{7}\right) \cdot \left(x - \frac{3}{4}\right)$

$\frac{7 y - 9}{\cancel{7}} = - \left(\frac{4}{7}\right) \cdot \frac{4 x - 3}{\cancel{7}}$

$49 y - 63 = - 16 x + 12$

color(maroon)(16x + 49y = 75