[tex]\textsf{Let's calculate the slope of the line passing thought the points (-2, 2) and } \\ \textsf{(13, -7) using the following formula: }\mathsf{m = \frac{\Delta y}{\Delta x}} \textsf{ where m is the slope of the line.}[/tex]
[tex]\textsf{So:}[/tex]
[tex]\mathsf{m = \dfrac{\Delta y}{\Delta x} = \dfrac{2 - (-7)}{-2 - 13} = \dfrac{9}{-15} =- \dfrac{3}{5}}[/tex]
[tex]\textsf{Hence the slope is } \mathsf{-\dfrac{3}{5}.}[/tex]