# How do you write an equation in point-slope form for the given (-3,-5) Slope: -5?

Jul 26, 2015

The point-slope form for the line with slope $- 5$ and point $\left(- 3 , - 5\right)$ is

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

#### Explanation:

The general equation for the point-slope form of a linear equation is $y - {y}_{1} = m \left(x - {x}_{1}\right)$, where $m$ is the slope, and $\left({x}_{1} , {y}_{1}\right)$ is the known point.

Given
$m = - 5$
Point=$\left(- 3 , - 5\right)$

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

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