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 $x+y=10$

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