How do you calculate the slope of the two points: (-1,-3) and (5,-6)?

May 14, 2018

The slope is $m = - \frac{1}{2}$

Explanation:

Let's begin by finding the slope of the line through the two points, $\left(- 1 , - 3\right)$ and $\left(5 , - 6\right)$

Slope is The change in $y$ rise over the change in $x$ run.

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

and can be found using the equation

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

For the points given the coordinates are

${x}_{1} = - 1$
${y}_{1} = - 3$
${x}_{2} = 5$
${y}_{2} = - 6$

Plug in the values and solve for slope

$m = \frac{- 6 - \left(- 3\right)}{5 - \left(- 1\right)}$

$m = - \frac{3}{6}$

$m = - \frac{1}{2}$