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

In the figure,$AHKF$,$FKDE$ and $HBCK$ are unit squares. $AD$ and $BF$ intersect at $X$. Then,the ratio of the areas of triangles $AXF$ and $ABF$ is

The equation of the line passing through $(a, b)$ and parallel to the line $\frac{x}{a} + \frac{y}{b} = 1$ is

What is the equation of the line that makes an angle of $45^{\circ}$ with the $x$-axis and passes through the point $(3, -4)$?

If the line joining two points $A(2,0)$ and $B(3,1)$ is rotated about $A$ in anticlockwise direction through an angle of $15^{\circ}$,then the equation of the line in the new position is

The equation of the straight line cutting off an intercept of $2$ from the negative direction of the $y$-axis and inclined at $30^\circ$ to the positive direction of the $x$-axis is: