What is the equation of the line between #(5,7)# and #(9,14)#?

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Answer 1 · 2016-06-29T22:53:16

#y = 7/4x -7/4#

#4y = 7x- 7#

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 #(5,7) and (9,14)#
#x_1 = 5#
#x_2 = 9#
#y_1 = 7#
#y_2 = 14#

#m = (14-7)/(9-5)#

#m = 7/4#

The slope is #m = 7/4#

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

#m = 7/4#
#x_1 = 5#
#y_1=7#

#y -7 = 7/4 (x -5)#

#y - 7 = 7/4x -35/4#

#y cancel(- 7) cancel(+ 28/4) = 7/4x -35/4 +28/4#

#y = 7/4x -7/4#

#4y = 7x- 7#