# What is the equation of the line with slope  m= 5/13  that passes through  (17,19) ?

May 24, 2016

$13 y - 5 x - 162 = 0$

#### Explanation:

Use the formula:

$\left(y - {y}_{1}\right) = m \left(x - {x}_{1}\right)$ where $m$ is the slope, or gradient.

$y - 19 = \frac{5}{13} \left(x - 17\right)$

$13 y - 247 = 5 x - 85$

$13 y - 5 x - 162 = 0$