Find the equation of the line passing through the point of intersection of the lines `x+5y+7=0` and `3x+2y-5=0`
(a) parallel to the line `7x+2y-5=0`

Find the equation of the line passing through the point of intersection of the lines 4x+7y-3=0 and 2x-3y+1=0 that has equal intercepts on the axes.

Find the equation of the line passing through the point of intersection of 2x+ y = 5 and x + 3y + 8=0 and parallel to the line 3x + 4y = 7 . Thinking Process : First find point of intersection of given lines and take slope m of intersection of given lines and take slope m of y-y_1 = m ( x - x_1) .

Find the equation of the line parallel to Y -axis and drawn through the point of intersection of the lines x-7y + 5=0 and 3x +y=0 .

Find the equation of the line passing through the point (3, 0, 1) and parallel to the planes x + 2y = 0 and 3y – z = 0.

The equation of the line passing through the point (1, 2) and perpendicular to the line x+y + 1 = 0 is

Find the equations of the lines through the point of intersection of the lines x - y + 1 = 0 and 2x - 3y + 5 =0 and whose distance from the point (3,2) is (7)/(5) .

Find the equation of the plane passing through the line of intersection of the planes 2x + 3y - 2 + 1 = 0 and x + y - 22 + 3 = 0 and perpendicular to the plane 3x – y – 2z - 4 = 0.

Without finding point of intersection obtain the equation of line passes from point of intersection of lines 5x + y + 4 = 0 and 2x + 3y - 1 = 0. which is parallel to the line 4x - 2y- 1 = 0.

Find equation of the line passes from point of intersection of lines x+2y-3 =0 and 4x-y+7=0 . Whose is parallel to line 5x+4y-20=0 .

The distance of the point of intersection of the lines 2 x- 3y + 5 = 0 and 3x + 4y =0 from the line 5x-2y =0 is