# How do you find the slope of a line passing through points (-6,3) and (-6,39)?

Mar 2, 2016

#### Explanation:

The formula for the slope of a line based upon two coordinate points is

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

For the coordinate points $\left(- 6 , 3\right) \mathmr{and} \left(- 6 , 39\right)$
${x}_{1} = - 6$
${x}_{2} = - 6$
${y}_{1} = 3$
${y}_{2} = 39$

$m = \frac{39 - 3}{- 6 - \left(- 6\right)}$
$m = \frac{36}{0}$
Because the denominator of the slope is 0 this means there is no run and therefore no slope.