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

Dec 17, 2015

$\textcolor{w h i t e}{\times} y = - 2 x - 1$

#### Explanation:

$\textcolor{w h i t e}{\times} y - {y}_{0} = m \left(x - {x}_{0}\right)$

$\implies y + 3 = - 2 \left(x - 1\right)$
$\implies y + 3 \textcolor{red}{- 3} = - 2 x + 2 \textcolor{red}{- 3}$
$\implies y = - 2 x - 1$
graph{-2x-1 [-10, 10, -5, 5]}