# What is the slope of the line passing through the following points:  (2,-6); (-2,-1)?

Jun 15, 2018

$\text{slope } = - \frac{5}{4}$

#### Explanation:

$\text{calculate the slope m using the "color(blue)"gradient formula}$

•color(white)(x)m=(y_2-y_1)/(x_2-x_1)

$\text{let "(x_1,y_1)=(2,-6)" and } \left({x}_{2} , {y}_{2}\right) = \left(- 2 , - 1\right)$

$m = \frac{- 1 - \left(- 6\right)}{- 2 - 2} = \frac{5}{- 4} = - \frac{5}{4}$

Jun 15, 2018

color(crimson)("Slope of the line " m = -(5/4)

#### Explanation:

$\text{Slope of line through two points is given by }$

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

$\left({x}_{1} , {y}_{1}\right) = \left(2 , - 6\right) , \left({x}_{2} , Y - 2\right) = \left(- 2 , - 1\right)$

color(crimson)("Slope of the line " m = (-1 + 6) / (-2 - 2) = -(5/4)