Question

Find parametric equations for the line that passes through the point (0, -1, 1) and the midpoint of the line segment from (2, 3, -2) to (4, -1, 5).

I don't know how to solve this problem.

Answer 1

let M be the midpoint
then M =(3,1,3/2)

then a direction vector of the line is
[3-0,1+1,3/2-1] = [3,2,1/2] or [6,4,1}

possible parametric equations:

x = 0 + 6t
y = -1 + 4t
z = 1 + t