How do you write an equation in point-slope form for the given (-3, 2) and (2, 1)?

1 Answer
Alan P.
Aug 4, 2015

Determine the slope between the given points and then plug it and one of the point coordinates into the general point-slope form to get:
#color(white)("XXXX")##(y-1) = -1/5(x-2)#

Explanation:

Determine slope between #(-3,2)# and #(2,1)#
#color(white)("XXXX")##m=(Delta y)/(Delta x) = (2-1)/(-3-2) = -1/5#

Insert values into point-slope form
The general point-slope form is
#color(white)("XXXX")##(y-haty) = m(x-hatx)#
Using the calculated slope and the point #(2,1)# this becomes
#color(white)("XXXX")##(y-1) = -1/5(x-2)#

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