Find the parametric equations of the line through the points (2, -1, 3) and (-1, 4, 0).

Answer 1

get a direction vector:
v = [2+1, -1-4 , 3-0] = [ 3, -5, 3]
pick one of the points, let's pick (2,-1,3)

x = 2 + 3t
y = -1 - t
z = 3 + 3t

all done

Answer 2

Thank you so much!!