# What is the equation of the line with slope  m= 19/3  that passes through  (4/15,7/24) ?

May 27, 2018

color(green)(2280x - 360y =503

#### Explanation:

Point -Slope form of equation i
$y - {y}_{1} = m \left(x - {x}_{1}\right)$

Given : $m = \frac{19}{3} , {x}_{1} = \frac{4}{15} , {y}_{1} = \frac{7}{24}$

$y - \left(\frac{7}{24}\right) = \left(\frac{19}{3}\right) \cdot \left(x - \left(\frac{4}{15}\right)\right)$

$\frac{24 y - 7}{\cancel{24}} ^ \textcolor{red}{8} = \left(\frac{19}{\cancel{3}}\right) \cdot \frac{15 x - 4}{15}$

$360 y - 105 = 8 \cdot \left(285 x - 76\right)$

$360 y - 105 = 2280 x - 608$

color(green)(2280x - 360y =503