Answer:
[tex]-\frac{1}{2}[/tex]
Step-by-step explanation:
Slope of the line is determined by [tex]\frac{rise}{run}[/tex]
The rise can be calculated by taking the y coordinates of 2 points and subtracting them.
The run can be calculated by taking the x coordinates of 2 points and subtracting them.
so
[tex]rise = (-3-(-2)) = -1[/tex]
[tex]run =(-3-(-5)) = 2[/tex]
slope = [tex]\frac{rise}{run} = \frac{-1}{2} =-\frac{1}{2}[/tex]