# What is the equation of the line with slope  m= -7/3  that passes through  (-7/15,-5/24) ?

Jun 10, 2018

$y = - \setminus \frac{7 x}{3} - \setminus \frac{467}{360}$

#### Explanation:

use the formula:
$\left(y - {y}_{1}\right) = m \left(x - {x}_{1}\right)$

to get:
$y + \setminus \frac{5}{24} = - \setminus \frac{7}{3} \left(x + \setminus \frac{7}{15}\right)$

simplify that to get:
$y = - \setminus \frac{7 x}{3} - \setminus \frac{467}{360}$