# How do you write an equation of the line in point slope form with (5,-1); m=-2/3?

Jul 5, 2015

$y + 1 = \left(- \frac{2}{3}\right) \left(x - 5\right)$

#### Explanation:

For a line with slope $m$ through a point $\left(p , q\right)$
the point-slope form of the linear equation is
$\textcolor{w h i t e}{\text{XXXX}}$$y - q = m \left(x - p\right)$

and we are given:
$\textcolor{w h i t e}{\text{XXXX}}$$m = \left(- \frac{2}{3}\right)$
$\textcolor{w h i t e}{\text{XXXX}}$$\textcolor{w h i t e}{\text{XXXX}}$and
$\textcolor{w h i t e}{\text{XXXX}}$$\left(p , q\right) = \left(5 , - 1\right)$