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#