Question

Find the parametric equations for the line (2, 4, 4) through the point that is perpendicular to the plane x- y+2z=9

Answer 1

The desired equation can be written as
(x, y, z) = (2, 4, 4) + t(1, -1, 2)

or separated to
x = 2+t
y = 4-t
z = 4+2t