  This paper is a further contribution to the classification of line-transitive
finite linear spaces. We prove that if S is a non-trivial finite linear space
with the Fang-Li parameter gcd(k,r) is 9 or 10, the automorphism group G of S
is line-transitive and point-imprimitive, then S is the Desarguesian projective
plane PG(2,9).
