Use the slope formula to find the slope of the line that goes through the given points:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Substitute (-3,-3)=(x_1,y_1) and (1,-5)=(x_2,y_2):
[tex]\begin{gathered} m=\frac{(-5)-(-3)}{(1)-(-3)} \\ =\frac{-5+3}{1+3} \\ =\frac{-2}{4} \\ =-\frac{1}{2} \end{gathered}[/tex]Therefore, the slope of the line through the given points, is:
[tex]-\frac{1}{2}[/tex]