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

1 Answer
Oct 17, 2017

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

Explanation:

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