The first step has to only use the givens, and each step can only use what comes before.
1. Use a straightedge to draw line m that intersects line l and point P.
2. Draw the point of intersection between line l and line m.
3. Using a compass, swing an arc that intersects lines l and m from the point of intersection.
4. Adjust the compass so it is equal to the distance between the intersection points of the first arc and lines l and m.
5. Without changing the compass width, construct a second arc from point P that intersects line m at point Z.
6. Without changing the compass width, construct an arc from point Z that intersects the previously constructed arc.
7. Mark the point of intersection between the two arcs as point Q.
8. Use a straightedge to draw a line through points P and Q.