# Can you find the slope of the line that passes through the points (-6,-4) and (-2,5)?

Mar 30, 2015
Mar 31, 2015

Yes I can.

The equation of the line is of the form:

$y = m x + c$

So:

$- 4 = m \left(- 6\right) + c$ $\textcolor{red}{\left(1\right)}$

and:

$5 = m \left(- 2\right) + c$ $\textcolor{red}{\left(2\right)}$

From $\textcolor{red}{\left(1\right)}$:

$c = 6 m - 4$

We subs. this value of c into $\textcolor{red}{\left(2\right)} \Rightarrow$

$5 = - 2 m + \left(6 m - 4\right)$

$4 m = 9$

$m = \frac{9}{4} = 2.25$