slope given points (\color(red)(x_1,y_1)) and (\color(green)(x_2,y_2)): m=(\color(green)(y_2)-\color(red)(y_1))/(\color(green)(x_2)-\color(red)(x_1))
you are given points (\color(red)(5,-2)) and (\color(green)(-3,2)) \thereforem=(\color(green)(2)-(\color(red)(-2)))/(\color(green)(-3)-\color(red)(5))=(2+2)/-8=4/-8=-4/8=-1/2