The equation of the line passing through the point $(-3, 2)$ and parallel to the $x$-axis is:

If the coordinates of the midpoint of the portion of a line intercepted between the coordinate axes are $(3, 2)$,then the equation of the line is:

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

$A$ straight line passing through the point $(2, 2)$ intersects the lines $\sqrt{3}x + y = 0$ and $\sqrt{3}x - y = 0$ at points $A$ and $B$ respectively. Find the equation of the line $AB$ such that the triangle $OAB$ is an equilateral triangle,where $O$ is the origin.

For what values of $a$ and $b$ are the intercepts cut off on the coordinate axes by the line $ax + by + 8 = 0$ equal in length but opposite in sign to those cut off by the line $2x - 3y + 6 = 0$ on the axes?

If the length of the intercept made on the line $y=ax$ by the lines $y=2$ and $y=6$ is less than $5$,then which of the following is true?