(a)Find the parametric equations for the line through (2,4,6) that is perpendicular to the plane $x-y+3z = 7$.
(b)In what points does this line intersect the coordinate planes.
For part (a) my answer was: $ x = 2 + t, y = 4 -t, z = 6 + 3t $.
For part (b), I know how to find the intersection of the given line with the given plane, by plugging the values of x,y & z that I got in part(a) in the above plane equation and finding the value of t, then I can plug in the value of t in part (a)to find the intersection of the given line with the given plane.
But how can I find the points of intersection of this line with the coordinate planes?
Could anyone help me please?