Find two points in the line and then use the slope formula to find the slope of the line.
Notice that two points in the line are:
[tex]\begin{gathered} (0,-2) \\ (3,-3) \end{gathered}[/tex]
The slope of a line through two points (x_1,y_1) and (x_2,y_2) is:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Substitute the values of the points (0,-2) and (3,-3):
[tex]\begin{gathered} =\frac{(-3)-(-2)}{(3)-(0)} \\ =\frac{-3+2}{3-0} \\ =\frac{-1}{3} \end{gathered}[/tex]
Therefore, the slope of the line is:
[tex]-\frac{1}{3}[/tex]
