# What is the point-slope form equation for the line that passes through the point (-1, 1) and has a slope of -2?

Jan 6, 2017

$\left(y - \textcolor{red}{1}\right) = \textcolor{b l u e}{- 2} \left(x + \textcolor{red}{1}\right)$

#### Explanation:

The point-slope formula states: $\left(y - \textcolor{red}{{y}_{1}}\right) = \textcolor{b l u e}{m} \left(x - \textcolor{red}{{x}_{1}}\right)$

Where $\textcolor{b l u e}{m}$ is the slope and $\textcolor{red}{\left(\left({x}_{1} , {y}_{1}\right)\right)}$ is a point the line passes through.

Substituting the point and slope from the problem gives:

$\left(y - \textcolor{red}{1}\right) = \textcolor{b l u e}{- 2} \left(x - \textcolor{red}{- 1}\right)$

$\left(y - \textcolor{red}{1}\right) = \textcolor{b l u e}{- 2} \left(x + \textcolor{red}{1}\right)$