The slope (m) of a line that passes through the points P and Q can be calculated by the formula: [tex]m=\dfrac{\Delta y}{\Delta x}=\dfrac{y_Q-y_P}{x_Q-x_P}[/tex]. So:
[tex]
m=\dfrac{\Delta y}{\Delta x}\\\\
m=\dfrac{y_Q-y_P}{x_Q-x_P}\\\\
m=\dfrac{(-6)-(-2)}{(-3)-(1)}\\\\
m=\dfrac{-6+2}{-3-1}\\\\
m=\dfrac{-4}{-4}\\\\
\boxed{m=1}[/tex]
