If the slope of a line is $2$ and it makes an intercept of $-4$ on the $y$-axis,then its equation is:

$A$ straight line $L$ at a distance of $4$ units from the origin makes positive intercepts on the coordinate axes and the perpendicular from the origin to this line makes an angle of $60^o$ with the line $x + y = 0$. Then an equation of the line $L$ is

If we reduce $3x + 3y + 7 = 0$ to the form $x \cos \alpha + y \sin \alpha = p$,then the value of $p$ is

The equation of the straight line which passes through the point $(1, -2)$ and cuts off equal intercepts from the axes is:

The equation of the line passing through $(c, d)$ and parallel to $ax + by + c = 0$ is

In what ratio does the line $y - x + 2 = 0$ divide the line segment joining the points $(3, -1)$ and $(8, 9)$?