# What is the equation of the line with slope  m= 15/17  that passes through  (-1,2/3) ?

Dec 26, 2015

$y = \left(\frac{15}{17}\right) x + \left(\frac{79}{51}\right)$

#### Explanation:

The equation of the line passing through $\left(- 1 , \frac{2}{3}\right)$ is $y - \left(\frac{2}{3}\right) = m \left(x + 1\right)$

$m = \frac{15}{17}$ is given.

Thus the equation becomes

$y - \left(\frac{2}{3}\right) = \frac{15}{17} \left(x + 1\right)$

or

$y = \left(\frac{15}{17}\right) x + \frac{15}{17} + \frac{2}{3}$

or

$y = \left(\frac{15}{17}\right) x + \left(\frac{79}{51}\right)$[Answer]