# What is the equation of the line with slope  m=2/9  that passes through  (2,-6) ?

Mar 28, 2018

$y = \frac{2}{9} x - \frac{58}{9}$

#### Explanation:

The general equation of a line is given by: $y - {y}_{1} = m \left(x - {x}_{1}\right)$, where $m$ is the gradient and $\left({x}_{1} , {y}_{1}\right)$ are coordinates of a point.

$y - - 6 = \frac{2}{9} \left(x - 2\right)$

Expand,

$y + 6 = \frac{2}{9} x - \frac{4}{9}$

Subtract $6$ from both sides,

$y = \frac{2}{9} x - \frac{58}{9}$