The equation of a straight line passing through the points $(-5, -6)$ and $(3, 10)$ is:

The equation of the line,which bisects the line segment joining the points $(2, -19)$ and $(6, 1)$ and is perpendicular to the line joining the points $(-1, 3)$ and $(5, -1)$,is

Find the equation of the line that makes an angle of $60^{\circ}$ with the $x$-axis and intersects the $y$-axis at the point $(0, -2)$.

If a line intercepted between the coordinate axes is trisected at a point $A(4, 3)$,which is nearer to the $x$-axis,then its equation is

The points on the straight line $3x - 4y + 1 = 0$ which are at a distance of $5$ units from the point $(3, 2)$ are

Find the equation of the line which is at a perpendicular distance of $5$ units from the origin and the angle made by the perpendicular with the positive $x-$ axis is $30^{\circ}$.