# How do you write an equation in point slope form given (-8, 5) m = -2/5?

Jun 6, 2018

$y - 5 = - \frac{2}{5} \left(x + 8\right)$

#### Explanation:

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

•color(white)(x)y-y_1=m(x-x_1)

$\text{where m is the slope and "(x_1,y_1)" a point on the line}$

$\text{here "m=-2/5" and } \left({x}_{1} , {y}_{1}\right) = \left(- 8 , 5\right)$

$\text{substitute these values into the equation}$

$y - 5 = - \frac{2}{5} \left(x - \left(- 8\right)\right)$

$y - 5 = - \frac{2}{5} \left(x + 8\right) \leftarrow \textcolor{red}{\text{in point-slope form}}$