What is the slope of the line passing through the following points: # (1,-4), (2,-5)#?

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Answer 1 · 2018-04-19T22:15:46

#-1#

To find the slope between two points, it is helpful to use the slope formula:

#"slope" = "change in y"/"change in x"#

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

Let's call #(1,-4)# Point 1, so:
#x_1 = 1#
#y_1 = -4#

And let's call #(2, -5)# Point 2, so:
#x_2 = 2#
#y_2 = -5#

Now plug those values into the equation:

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

#m = (-5 - -4)/(2-1)#

#m = (-5 + 4)/(2 -1#

#m = (-1)/1#

#m = -1#

The slope between these two points is #-1#.