What is the equation of the line between #(3,6)# and #(2,7)#?

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Answer 1 · 2016-03-15T18:11:40

y = -1x +5#

The formula for the slope of a line based upon two coordinate points is

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

For the coordinate points #(-3,3) and (3,1)#
#x_1 = 3#
#x_2 = 2#
#y_1 = 6#
#y_2 = 7#

#m = (7-6)/(2-3)#

#m = -1/1#

The slope is #m = -1#

The point slope formula would be written as
#y - y_1 = m( x - x_1)#

#m = -1#
#x_1 = 3#
#y_1=2#

#y - 2 = -1 (x -3)#

#y - 2 = -1x +3#

#y - 2 + 2= -1x +3 +2#

#y = -1x +5#