For specifying a straight line,how many geometrical parameters should be known?

If the three points $(3q, 0)$,$(0, 3p)$,and $(1, 1)$ are collinear,then which one is true?

$A$ 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

Find the slope of the line making an inclination of $60^{\circ}$ with the positive direction of the $x$-axis.

$\beta$ is the angle made by the perpendicular drawn from the origin to the line $L \equiv x+y-2=0$ with the positive $X$-axis in the anticlockwise direction. If '$a$' is the $X$-intercept of the line $L=0$ and $p$ is the perpendicular distance from the origin to the line $L=0$,then $a \tan \beta + p^2 =$

Reduce the following equation into intercept form and find its intercepts on the axes: $4x - 3y = 6$.