Good morning,

I'll do the 1st example and leave the rest for you:

Equation of the plane:

Equation of the line:

To determine the points of intersection replace in p by of l and solve for :

Replace by (-2) in and you'll get

To do the following examples you should know which value of you'll get if

- the line is parallel to the plane (no point of intersection!)
- the line lies in the plane (unlimited number of points of intersection)