Find the equation of the line which passes through $(0, 0)$ with slope $m$.

The line $y = 2x + c$ passes through a point that is equidistant from both the axes and lies in the first quadrant $(x > 0, y > 0)$. Then the value of $c$ is...

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

The intercept cut off from the $y$-axis is twice that from the $x$-axis by a line,and the line passes through $(1, 2)$. Find its equation.

$A$ straight line through the point $P(1, 2)$ makes an angle $\theta$ with the positive $X$-axis in the anticlockwise direction and meets the line $x + \sqrt{3}y - 2\sqrt{3} = 0$ at $Q$. If $PQ = \frac{1}{2}$,then $\theta =$

The $x$-intercept and $y$-intercept of the line $2x - 3y = 6$ are respectively: