What is the equation of the line between $(-20,2)$ and $(-3,8)$ ?

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Answer 1 · 2018-08-06T13:13:50

$6x-17y+154=0$

Equation of a line joining two points $(x_1,y_1)$ and $(x_2,y_2)$ is

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

Hence equation of line joining $(-20,2)$ and $(-3,8)$ is

$(y-2)/(8-2)=(x-(-20))/(-3-(-20))$

or $(y-2)/6=(x+20)/17$

or $17y-34=6x+120$

or $6x-17y+154=0$

What is the equation of the line between (-20,2)(-20,2) and (-3,8)(-3,8)?