A line perpendicular to the line segment joining the points (7, 3) and (3, 7) divides it in the ratio 1:3, the equation of the line is

Slope of the given line is 7-33-7=-1 and the coordinates of the point which divides the given line segment in the ratio 1:3 is 1×3+3×74,1×7+3×34=(6,4)So equation of the line passing through the point (6, 4) and perpendicular to the given line isy−4=x−6  ⇒ x−y−2=0.