How do you determine the slope of the line passing through (-1,6) and (2,-3)?

1 Answer
Alan P.
Jun 14, 2015

Use the basic definition of the slope between two points to determine that the slope is #(-3)#.

Explanation:

If #(x_1,y_1) = (-1,6)# and #(x_2,y_2) = (2,-3)#
the slope (which is defined as)
#color(white)("XXXX")##(y_2-y_1)/(x_2-x_1)#

#color(white)("XXXX")##= (-3 -6)/(2 - (-1)) = (-9)/(3) = -3#

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