# What is the slope of the line passing through the following points:  (-5, -3) , (8,2) ?

##### 2 Answers
May 12, 2018

$\frac{5}{13}$

#### Explanation:

gradient = $\frac{\Delta y}{\Delta x}$

$= \frac{2 - \left(- 3\right)}{8 - \left(- 5\right)}$ $= \frac{5}{13}$

May 12, 2018

$\text{slope} = \frac{5}{13}$

#### Explanation:

Recall: $y = m x + c$

Where;

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

${y}_{2} = 2$

${y}_{1} = - 3$

${x}_{2} = 8$

${x}_{1} = - 5$

Hence;

$\text{slope} = \frac{2 - \left(- 3\right)}{8 - \left(- 5\right)}$

$\text{slope} = \frac{2 + 3}{8 + 5}$

$\text{slope} = \frac{5}{13}$