A line with positive rational slope passes through the point A(6, 0) and is at a distance of 5 units from B(1, 3). If the slope of the line is m, then the value of 75m is

Equation of line passing through point A(6, 0) and having slope m is (y−0)=m(x−6),m>0 or  mx−y−6m=0,m>0------(1)Distance of this line from point B(1,3) is 5. So,  m−3−6m1+m2=5⇒ (3+5m)2=251+m2⇒ 9+30m=25⇒ m=1630=815