The perpendicluar distance of a st. line from the origin is 5cm and its slope is -1. Find the equation of the st. line .

Find the slope and y-intercept of the st. line 5x + 6y = 7.

If the foot of the perpendicular from the origin to a straight line is at (3,-4) , then find the equation of the line.

Find the equation of the st. line joining the points (3, -1) and (2, 3). Also find the equation of another st. line perpendicular to this st. line and passing through (5, 2).

The perpendicular from the origin to a line meets it at the point (-2, 9), find the equation of the line.

Find the perpendicular distance of the point (b, a) from the st. line x/a-y/b=1 .

Obtain the co-ordinates of the feet of perpendiculars drawn from the origin upon the lines 3x -5y + 2=0 and 4x- 3y + 5 = 0 and show that the equation of the st. line joining these feet is 26x + 53y = 11 .

Find the equation of the st. line through (3, 4) and (2, -1).

Find the equations of the straight lines which pass through the origin and trisect the portion of the st. line x/a+y/b=1 , which is intercepted between the axis.

Find the equation of the st. line, which has length of perpendicular segment from the origin to the line 4 units and the inclination of the perpendicular segment with the positive direction of x-axis is 30^@ .