Find the point at which the line intersects the given plane.

Question

x = 1 + 4t, y = 4t, z = 2−3t ;
x + 2y − z + 1 = 0

(x, y, z) = _____________?

Answer 1

(1+4t) +2 (4t) -(2-3t) = -1
solve for t
then use that t to find x, y z