What is the equation of the line between $(3,-13)$ and $(5,1)$ ?

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Answer 1 · 2016-05-26T22:58:10

$s =((-2 lambda+5),(-14 lambda+1))$ for $0 le lambda le 1$

Given two points $p_1,p_2$ the segment $s$ they define is given by

$s = lambda p_1+(1-lambda)p_2$ for $0 le lambda le 1$
$s = lambda(3,-13)+(1-lambda)(5,1) = ((3 lambda +5(1-lambda)),(-13 lambda +1(1-lambda)))$

What is the equation of the line between (3,-13)(3,-13) and (5,1)(5,1)?