What is the equation of the line between #(4,6)# and #(2,8)#?

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Answer 1 · 2016-02-22T09:50:03

Equation of the line between two points #(4,6)# and #(2,8)# is #x+y=10#

Equation of the line between two points say #(x_1,y_1)# and #(x_2,y_2) is given by

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

Hence equation of the line between #(4,6)# and #(2,8)# is given by

#(y-6)/(x-4)=(8-6)/(2-4)# i.e.

#(y-6)/(x-4)=2/(-2)# or #(y-6)/(x-4)=-1# i.e.

#(y-6)=-1*(x-4)# i.e.

#(y-6)=-x+4#

or #x+y=10#

Hence, equation of the line between two points #(4,6)# and #(2,8)# is #x+y=10#