What is the equation of the line between #(5,7)# and #(14,4)#?

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Answer 1 · 2015-11-20T03:28:16

#y=(-1)/3x -10#

Since we are given two points, we're gonna use the two-point slope form:

#(y-y_2) = (y_2-y_1)/(x_2-x_1)(x-x_2)#

Substitute the values:

#(y-4) = (4-7)/(14-5)(x-14)#

#(y-4) = (-3)/(9)(x-14)#

#y-4=(-1)/3x-14#

#y=(-1)/3x -14+4#

#y=(-1)/3x -10#