What is the equation of the line passing through #(13,7)# and #(19,19)#?

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Answer 1 · 2016-04-11T10:27:47

#2x-y=19#

The equation of a line passing through two points #(x_1,y_1)# and #(x_2,y_2)# is given by

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

Hence equation of line passing through #(13,7)# and #(19,19)# is

#(y-7)/(19-7)=(x-13)/(19-13)# or

#(y-7)/12=(x-13)/6# or #(y-7)/2=(x-13)#

or #(y-7)=2(x-13)# or

#y-7=2x-26# i.e.

#2x-y=19#