What is the equation in point-slope form of the line given (5,7),(6,8)?

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Answer 1 · 2015-05-26T11:59:09

The slope of a line given two points #(x_1,y_1)# and #(x_2,y_2)# is
#m = (Delta y)/(Delta x) = (y_2 - y_1)/(x_2 -x_1)#

For the given points #(5,7)# and #(6,8)#
#m = (8-7)/(6-5) = 1#

The point-slope form the the equation of a line given a slope of #m# and a point #(y_1,x_1)# is
#(y-y_1) = m(x-x_1)#

For our given values this is
#(y-7) = (1)(x-5)#