the locus of orthocentre of triangle formed by lines (1+p)x-py+p(1+p)=0,(1+q)x-qy+q(1+q)=0 and y=0 where p not equal to q is

i know the locus of orthocentre in given question is a straight line by eliminating p and q but the procedure is too long.is there any formula for finding orthocentre