# What is the slope of the line passing through the points (−3, 4) and (4, −1)?

May 23, 2018

$s l o p e = \frac{4 - \left(- 1\right)}{- 3 - 4} = \frac{5}{-} 7 = - \frac{5}{7}$

#### Explanation:

Note that the slope of the line passing through two point given by:

color(red)[slope=(y_2-y_1)/(x_2-x_1)

point 1 $\left({x}_{1} , {y}_{1}\right) = \left(4 , - 1\right)$

point 2 $\left({x}_{2} , {y}_{2}\right) = \left(- 3 , 4\right)$

$s l o p e = \frac{4 - \left(- 1\right)}{- 3 - 4} = \frac{5}{-} 7 = - \frac{5}{7}$

May 23, 2018

The slope of the line is $- \frac{5}{7}$.

#### Explanation:

The formula for finding the slope of the line passing two points is

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

Here m symbolizes the slope.

Let's consider, $\left({x}_{1} , {y}_{1}\right) = \left(- 3 , 4\right) \mathmr{and} \left({x}_{2} , {y}_{2}\right) = \left(4 , - 1\right)$

Therefore,

$m = \frac{- 1 - 4}{4 - \left(- 3\right)}$

$m = - \frac{5}{7}$