It is required that you find the slope of the line passing between two points.
The given points are:
[tex](12,-3),(5,-9)[/tex]The formula for the slope of the line passing through two points (x₁,y₁) and (x₂,y₂) is:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Substitute the given points (x₁,y₁)=(12,-3) and (x₂,y₂)=(5,-9) into the formula:
[tex]m=\frac{-9-(-3)}{5-12}[/tex]Calculate the value of m to find the slope:
[tex]m=\frac{-9+3}{5-12}=\frac{-6}{-7}=\frac{\cancel{-}6}{\cancel{-}7}=\frac{6}{7}[/tex]The required slope of the line is 6/7.