What is the equation of the line between $(5,13)$ and $(-31,22)$ ?

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Answer 1 · 2016-01-25T21:04:19

$y=-1/4(x-5)+13=-1/4x+57/4$ .

The line containing the points $(x_1,y_1)=(5,13)$ and $(x_2,y_2)=(-31,22)$ has slope $(y_2-y_1)/(x_2-x_1)=(22-13)/(-31-5)=9/(-36)=-1/4$ .

Since it contains the point $(x_1,y_1)=(5,13)$ , this implies its equation can be written as $y=-1/4(x-5)+13=-1/4x+57/4$ .

What is the equation of the line between (5,13)(5,13) and (-31,22)(-31,22)?