# What is the equation of the line with slope  m= 6/13  that passes through  (12,19) ?

##### 1 Answer
Jan 1, 2016

The equation is: $y = \frac{6}{13} x + \frac{175}{13}$

#### Explanation:

Since $y = m x + n$ and m = 6/13, every time that x changes its value in 13, y also changes, but only 6.

So, $12 - 13 = - 1$ and $19 - 6 = 13$. When $x$ is -1, $y$ is 13. So, just add 1 to $x$ and $m$ to $y$:
$- 1 + 1 = 0$ and $13 + \frac{6}{13} = \frac{175}{13}$$\to$y-intercept.

So, the equation is: $y = \frac{6}{13} x + \frac{175}{13}$.