How do you find the parametric equations of line that passes through the points (1, 3, 2) and ( -4, 3, 0)?

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Answer 1 · 2017-10-17T13:17:13

The equation is $((x),(y),(z))=((1),(3),(2))+t((-5),(0),(-2))$

Let the points be

$A=(1,3,2)$

$B=(-4,3,0)$

The vector

$vec(AB)=((-4),(3),(0))-((1),(3),(2))=((-5),(0),(-2))$

The parametric equation of the line is

$((x),(y),(z))=((1),(3),(2))+t((-5),(0),(-2))$ , $AA t in RR$