# What is the slope of the line passing through the following points: (–8, –6), (–3, 5) ?

##### 2 Answers
Jun 26, 2018

$\frac{11}{5}$

#### Explanation:

The slope is given by:

$\text{change in y" / "change in x}$

Where between $\left({x}_{0} , {y}_{0}\right) \text{ and } \left({x}_{1} , {y}_{1}\right)$the slope is

$\frac{{y}_{1} - {y}_{0}}{{x}_{1} - {x}_{0}}$

Hence the slope of this is $\frac{5 - \left(- 6\right)}{- 3 - \left(- 8\right)}$

$= \frac{11}{5}$

Hence the slope is $\frac{11}{5}$

Jun 26, 2018

$\text{slope } = \frac{11}{5}$

#### Explanation:

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

•color(white)(x)m=(y_2-y_1)/(x_2-x_1)

$\text{let "(x_1,y_1)=(-8,-6)" and } \left({x}_{2} , {y}_{2}\right) = \left(- 3 , 5\right)$

$m = \frac{5 - \left(- 6\right)}{- 3 - \left(- 8\right)} = \frac{11}{5}$