# What is the equation of a line with Slope=-5 Passing through (-4,-2)?

##### 1 Answer
Jun 11, 2015

$5 x + y = - 18$

#### Explanation:

Using the general slope-point form:
$\textcolor{w h i t e}{\text{XXXX}}$$y - b = m \left(x - a\right)$ with slope $m$ through $\left(a , b\right)$
we can write (using the given values:
$\textcolor{w h i t e}{\text{XXXX}}$$y + 2 = \left(- 5\right) \left(x + 4\right)$
which is a valid equation for the given values;
however, we typically want to express this in a "prettier" form:
$\textcolor{w h i t e}{\text{XXXX}}$$y + 2 = - 5 x - 20$

$\textcolor{w h i t e}{\text{XXXX}}$$5 x + y = - 18$