# What is the equation of the line with slope  m= 17/3  that passes through  (4/9,2/3) ?

Apr 14, 2016

$153 x - 27 y = 50$

#### Explanation:

Using the slope-point form with slope $\frac{17}{3}$ and the point $\left(\frac{4}{9} , \frac{2}{3}\right)$
$\textcolor{w h i t e}{\text{XXX}} \left(y - \frac{2}{3}\right) = \frac{17}{3} \left(x - \frac{4}{9}\right)$

$\textcolor{w h i t e}{\text{XXX}} 3 y - 2 = 17 x - \frac{68}{9}$

$\textcolor{w h i t e}{\text{XXX}} 27 y = 153 x - 68 + 18$

$\textcolor{w h i t e}{\text{XXX}} 153 x - 27 y = 50$