Slope #m# of a line passing through two points #A(x_1,y_1)# and #B(x_2,y_2)# is given by
#m=(y_2-y_1)/(x_2-x_1)#
Here let #A=(1,-1) and B=(4,7)#
#implies m=(7-(-1))/(4-1)=(7+1)/3=8/3#
#implies# slope of the line passing through the given points is #8/3#.