What is the equation of the line passing through #(3,5), (5,17)#?

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Answer 1 · 2016-05-06T17:59:42

#y = 6x -13#

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 #(3,5) and (5,17)#
#x_1 = 3#
#x_2 = 5#
#y_1 = 5#
#y_2 = 17#

#m = (17-5)/(5-3)#

#m =12/2#

The slope is #m = 6#

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

#m = 6#
#x_1 = 3#
#y_1=-5#

#y - 5 = 6 (x -3)#

#y - 5 = 6x - 18#

#y cancel(- 5) cancel(+ 5)= 6x -18 +5#

#y = 6x -13#