The sum of the slopes of lines which are parallel, perpendicular to the line passing through the points  1,3and 3,5 is

The slope of any line parallel to the line passing through the points (1,3) and (3,5) is m=5−33−1=1 The slope of any line perpendicular to the line passing through the points (1,3) and (3,5) is −1m where m=5−33−1=1 Hence, the slope of line perpendicular to the line passing through the points (1,3) and (3,5) is −1 Therefore, sum of slopes is 1+(−1)=0