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Answer 1 · 2017-10-29T02:39:57

The slope is #m = -1/2#

The slope of the line can be calculated using the equation

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

where the two points are #(x_1,y_1) (x_2,y_2)#

For the points #(-4,2) (6,-3)#

#x_1 = -4#
#y_1=2#
#x_2 = 6#
#y_2=-3#

#m = (-3-2)/(6-(-4))#

#m = -5/10#

The slope is #m = -1/2#