What is the equation of the line between #(-18,14)# and #(19,24)#?

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Answer 1 · 2016-02-25T03:56:13

#y = 10/37x - 806/37#
or
#37y = 10x - 806#

The formula for slope is #m =(y_2 - y_1)/(x_2-x_1)#

For the points (-18,14) and (19,24) where
#x_1 = -18#
#y_1 =14#
#x_2 = 19#
#y_2 = 24#

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

#m =(24 - 14)/(19-(-18)#

#m = 10/37#

To determine the equation of the line we can use the point slope formula and plug in the values given in the question.

#(y - y_1) = m(x - x_1)#

#m = 10/37#
#x_1 = -18#
#y_1 = 14#

#(y - (-18)) = 10/37#(x - 14)#

#y + 18 = 10/37x - 140/37#

#y + 18 - 18 = 10/37x - 140/37 - 18#

#y = 10/37x - 140/37 - 666/37#

#y = 10/37x - 806/37#

#(y = 10/37x - 806/37) x 37#

#37y = 10x - 806#