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

Find y if the line passes from points (3,y) and (2,7) is parallel to the line passes from points (-1,4) and (0,6) .

In what ratio, the line joining (-1, 1) and (5,7) is divided by the line x+y=4 ?

Line joining the points (3,-4) and (-2, 6) is perpendicular to the line joining the points (-3, 6) and (9,-18) .

Show that the line passing through the points (4, 7, 8) and (2, 3, 4) is parallel to the line passing through the points (-1, -2, 1) and (1, 2, 5).

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

Equation of the line passing through (1, 2) and parallel to the line y=3x -1 is

Find the equation of the plane passing through the point (-1,2, 1) and perpendicular to the line joining the points (-3, 1, 2) and (2, 3, 4). Find also the perpendicular distance of the origin from this plane.

The line joining A (-2 , 5) and B (3, 5) intersects which axis ?