Find the equation of a line passing through the origin and parallel to the line 3x – 2y + 4 = 0.

Find the equation of the line that has x-intercept –3 and is perpendicular to the line 3x + 5y = 1.

Find the equation of the perpendicular dropped from the point (–1, 2) onto the line joining the points (1, 4) and (2, 3).

Find the equation of the line passing through the point of intersection of the lines 5x – 8y + 23 = 0 and 7x + 6y – 71 = 0 and perpendicular to the line 4x – 2y = 3.