The slope of the line is -2.
Solution:
Given points are (-3, -7) and (2, -17).
Here [tex]x_1=-3, y_1=-7, x_2=2, y_2=-17[/tex]
Slope of the line:
[tex]$m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]$m=\frac{-17-(-7)}{2-(-3)}[/tex]
[tex]$m=\frac{-17+7}{2+3}[/tex]
[tex]$m=\frac{-10}{5}[/tex]
m = -2
The slope of the line that passes through the pair of points is -2.
