# How do you write the equation in point slope form given (-2,-9), slope -7/9?

Jun 4, 2017

$y + 9 = - \frac{7}{9} \left(x + 2\right)$

#### 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 $\left({x}_{1} , {y}_{1}\right) \text{ a point on the line}$

$\text{here " m=-7/9" and } \left({x}_{1} , {y}_{1}\right) = \left(- 2 , - 9\right)$

$\Rightarrow y - \left(- 9\right) = - \frac{7}{9} \left(x - \left(- 2\right)\right)$

$\Rightarrow y + 9 = - \frac{7}{9} \left(x + 2\right) \leftarrow \textcolor{red}{\text{ in point-slope form}}$