find the parametric equation of the line through the points

find the parametric equation of the line through the points (-2,5,0) and (2, -3,1)

Solution

(-2,5,0) and (2, -3,1)

Vector v = < 2 - -2 , -3 -5 , 1-0 > = < 4, -8 , 1>

Use either of the points can be used to find the parametric equation. Using ( -2, 5,0 ) the parametric equations are:

x = -2 +4t ; y = 5 -8t ; z = 0 +t (parametric equation of the line)