a$)$ Use the $$point$-$in$-$polygon$$ test to prove that the point X $(4,2),$ is inside the polygon

P with corner coordinates A $(3,0),$ B$(3,4),$ C$(5,4))$ and C$(5,0).$

b$)$ Does the line with coordinates X$(8,2)$ and Y$(1,4)$ intersects the polygon with corner

coordinates A$(2,0),$ B$(3,4),$ C$(6,0)$ and D$(5,4).$