The equation of the line passing through $(5, 3)$ and perpendicular to $2x + y - 7 = 0$ is

The length of the perpendicular from the origin to a line is $9$ and the perpendicular makes an angle of $120^{\circ}$ with the positive direction of the $y$-axis. Find the equation of the line.

The equation of the line whose midpoint between the axes is $({x_1}, {y_1})$ is:

The equations of the lines which pass through the point of intersection of the lines $4x - 3y - 1 = 0$ and $2x - 5y + 3 = 0$ and are equally inclined to the axes are

If the length of the perpendicular to a line from the origin is $2 \sqrt{2}$ units,which makes an angle of $135^{\circ}$ with the $X$-axis,then the equation of the line is

Find the equation of the line passing through the point $(2,2)$ and cutting off intercepts on the axes whose sum is $9$.