Find the equation of the line passing through $(4, 6)$ and parallel to the line $3x - 7y + 2 = 0$.

Find the equation of a line passing through the point $(2, 5/3)$ such that the segment of the line intercepted between the axes is divided by the point in the ratio $5 : 4$.

If the line passing through $(4, 3)$ and $(2, k)$ is perpendicular to the line $y = 2x + 3$,then the value of $k$ is:

The length of the perpendicular from the origin to a line is $7$ and the line makes an angle of $150^{\circ}$ with the positive direction of the $y$-axis. Find the equation of the line.

The equation of the line perpendicular to $x = c$ is

The equation of a line passing through $(3, -4)$ and perpendicular to the line $3x + 4y = 5$ is