# How do you write an equation in point-slope form for the given Point: (-2, -5) and has a slope of -3?

Apr 16, 2018

$y + 5 = - 3 \left(x + 2\right)$

#### Explanation:

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

•color(white)(x)y-y_1=m(x-x_1)

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

$\text{here "m=-3" and } \left({x}_{1} , {y}_{1}\right) = \left(- 2 , - 5\right)$

$y - \left(- 5\right) = - 3 \left(x - \left(- 2\right)\right)$

$\Rightarrow y + 5 = - 3 \left(x + 2\right) \leftarrow \textcolor{b l u e}{\text{in point-slope form}}$