# How do you write the equation in point slope form given (-5,-6) and m=2?

Jul 21, 2017

$y + 6 = 2 \left(x + 5\right)$

#### Explanation:

$\text{the equation of a line in "color(blue)"point-slope form}$ is.

$\textcolor{red}{\overline{\underline{| \textcolor{w h i t e}{\frac{2}{2}} \textcolor{b l a c k}{y - {y}_{1} = m \left(x - {x}_{1}\right)} \textcolor{w h i t e}{\frac{2}{2}} |}}}$
where m represents the slope and $\left({x}_{1} , {y}_{1}\right) \text{ a point on }$
$\text{the line}$

$\text{here " m=2" and } \left({x}_{1} , {y}_{1}\right) = \left(- 5 , - 6\right)$

$\Rightarrow y - \left(- 6\right) = 2 \left(x - \left(- 5\right)\right)$

$\Rightarrow y + 6 = 2 \left(x + 5\right) \leftarrow \textcolor{red}{\text{ in point-slope form}}$