If you are given two points of a line (x1,y1) and (x2,y2), you can calculate the slope (m) by means of the formula:
[tex]m=\frac{y2-y1}{x2-x1}[/tex]In this case, we have the points (-5,6) and (-3,-3), then the slope of the line is:
[tex]m=\frac{-3-6}{-3-(-5)}=\frac{-9}{-3+5}=\frac{-9}{2}=-\frac{9}{2}=-4.5[/tex]Then, the slope of the line is -9/2