# What is the equation of the line with slope  m= 11/3  that passes through  (7/15,-1/24) ?

Jan 27, 2016

$360 y = 1320 x - 631$

#### Explanation:

suppose,
The equation of the straight line is,
$y = m x + c$
$m = \frac{11}{3}$
Where $m$ and $c$ is unknown.
now, by passing the points through t he first equation,
$- \frac{1}{24} = \frac{11}{3} \cdot \frac{7}{15} + c$
$\mathmr{and} , - \frac{1}{24} = \frac{77}{45} + c$
$\mathmr{and} , c = - \frac{631}{360}$
now putting the values of m and c in the first equation,
$y = \frac{11}{3} x + \frac{631}{360}$
$\mathmr{and} , 360 y = 1320 x - 631$