# How do you write an equation of a line with Slope = –5, passing through (–4, –2)?

May 18, 2015

The answer is : $y = - 5 x - 22$.

The standard form of the equation of a line is : $y = m x + c$, where $m$ is the slope.

Since you have a point $\left(x , y\right) = \left(- 4 , - 2\right)$ through which your line passes, you just have to solve the following equation in order to find $c$ :

$y = - 5 x + c$

$- 2 = \left(- 5\right) \cdot \left(- 4\right) + c = 20 + c$

$- 22 = c$

Therefore, the equation of your line is : $y = - 5 x - 22$.