What is the slope of the line between # (-12,32) # and # (6,-6) #?

1 Answer
Jan 10, 2016

If #A(x_1,y_1)# and #B(x_2,y_2)# are two points then the slope #m# of line between these two points is given by.

#m=(y_2-y_1)/(x_2-x_1)#

Here let #A(x_1,y_1)# represent #(-12,32)# and #B(x_2,y_2)# represent #(6,-6)#.

#implies m=(-6-32)/(6-(-12))=-38/(6+12)=-38/18=-19/9#

#implies m=-19/9#

Hence the slope of the line passing through the given points is #-19/9#.