# How do you write an equation in point slope form that passes through (-4, -2) with slope -5?

Jun 9, 2015

The equation of line passing through (a,b) with slope m is
$y - b = m \left(x - a\right)$

#### Explanation:

Given
$\left(a , b\right) = \left(- 4 , - 2\right)$
$m = - 5$
Just substitute the values in the equation.

$y + 2 = - 5 \left(x + 4\right)$
$5 x + y + 22 = 0$

Which is the equation in point slope form that passes through (-4, -2) with slope -5.