Show that the line :
through (2, - 3) and (-1, 2) is perpendicular to the line joining (3, 7) and (- 2, 4).

Show that the line joining (2, -3) and (- 5,1) is : perpendicular to the line joining (4, 5) and (0, - 2).

Show that the line : through (- 2, 6) and (4, 8) is perpendicular to the line through (8, 12) and (4, 24).

Show that the line : through (0, 0) and (2, 3) is parallel to the line through (2, 2) and (4, 5) .

Show that the line joining (2,-3) and (-5,1) is parallel to the line joining (7,-1) and (0,3).

Slope of the line joining (3,1) and (4,5) is :

Find the equation of the line passing through (-3, 5) and perpendicular to the line through the points (2, 5) and (-3, 6).

Find the equation of the lines through (- 2, -1) and are : perpendicular to the line y =x.

Show that the line through the points (1, – 1, 2), (3, 4, – 2) is perpendicular to the line through the points (0, 3, 2) and (3, 5, 6).

Find the equation of the plane passing through the point (3,-3, 1) and perpendicular to the line joining the points (3, 4, - 1) and (2, - 1,5). Also find the coordinates of the foot of the perpendicular, the equation of the perpendicular line and the length of perpendicular drawn from the origin to the plane.