# What is the slope of the line passing through the following points: (-3,-2),(-4, 1) ?

Dec 2, 2015

$y = - 3 x - 11$

#### Explanation:

If you know two points of a line with coordinates $\left({x}_{1} , {y}_{1}\right)$ and $\left({x}_{2} , {y}_{2}\right)$, then the equation for the line is

$\setminus \frac{x - {x}_{2}}{{x}_{1} - {x}_{2}} = \setminus \frac{y - {y}_{2}}{{y}_{1} - {y}_{2}}$

$\setminus \frac{x + 4}{- 3 + 4} = \setminus \frac{y - 1}{- 2 - 1}$
$x + 4 = \setminus \frac{y - 1}{- 3}$
$- 3 \left(x + 4\right) = y - 1$
$- 3 x - 12 = y - 1$
$y = - 3 x - 11$