Question

find the slope of the line between the coordinates (-6,-13) and (3,-1)

Answer 1

To find the slope of this line, we must use the equation:

$slope=\frac{x_{2}-x_{1}}{y_{2}-y_{1}}$

Where $(x_{1}, y_{1})$ and $(x_{2}, y_{2})$ can be assigned to either point.

Let's use (-6, -13) as the point "1" and (3, -1) as the point "2":

$slope=\frac{3-(-6)}{-1-(-13)}$

$slope=\frac{9}{12} =\frac{3}{4}$

So now we know that the slope between these two points is $\frac{3}{4}$.