# What is the slope of the line passing through the following points:  (-3, -4) , (-6, 7) ?

##### 1 Answer
Jul 24, 2016

$m = - \frac{11}{3}$

#### Explanation:

The slope of the line is determined by the change in $y$ over the change in $x$.

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

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

Using the points (-3,-4) and (-6,7)

${x}_{1} = - 3$
${y}_{1} = - 4$
${x}_{2} = - 6$
${y}_{2} = 7$

$m = \frac{7 - \left(- 4\right)}{\left(- 6\right) - \left(- 3\right)}$

m = (7+4))/(-6+3)

$m = \frac{11}{- 3}$

$m = - \frac{11}{3}$