Given two points (-7,-5) and (5,-17) you can calculate the slope of the line that passes through them by using the following formula:
[tex]m=\frac{y_1-y_2}{x_1-x_2}[/tex]Where
m is the slope
(x₁,y₁) are the coordinates of one of the points
(x₂,y₂) are the coordinates of the second point
Then for (-7,-5) and (5,-17), the slope can be calculated as
[tex]\begin{gathered} m=\frac{-17-(-5)}{5-(-7)} \\ m=\frac{-17+5}{5+7} \\ m=\frac{-12}{12} \\ m=-1 \end{gathered}[/tex]The slope is m=-1
