Take into account that the slope between two points with coordinates (x1,y1) and (x2,y2) is given by:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]In this case, you have:
(x1,y1) = (-3,7)
(x2,y2) = (2,-2)
Replace the previous values into the formula for m and simplify:
[tex]m=\frac{-2-7}{2-(-3)}=\frac{-9}{2+3}=\frac{-9}{5}=-\frac{9}{5}[/tex]Hence, the slope of the line between the given points is -9/5