How do you calculate the slope of the two points: (-1,-3) and (5,-6)?

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Answer 1 · 2018-05-14T18:21:09

The slope is #m= -1/2#

Let's begin by finding the slope of the line through the two points, #(-1,-3)# and #(5,-6)#

Slope is The change in #y# rise over the change in #x# run.

#m = (Deltay)/(Deltax)#

and can be found using the equation

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

For the points given the coordinates are

#x_1 = -1#
#y_1 = -3#
#x_2 = 5#
#y_2=-6#

Plug in the values and solve for slope

#m=(-6 -(-3))/(5-(-1))#

#m = -3/6#

#m =-1/2#