Reduce the following equation into slope-intercept form and find its slope and the $y$-intercept: $y=0$.

The equation of the straight line passing through $(-a, 0)$ and forming a triangle with the coordinate axes of area $T$ is

Let $O=(0,0)$. Let $A$ and $B$ be points on the $X$-axis and $Y$-axis respectively such that $\angle OBA = 60^{\circ}$. Let $D$ be a point in the first quadrant such that $\triangle OAD$ is an equilateral triangle. Then,the slope of $DB$ is

Find the equation of the line passing through the point $(2, -3)$ such that the sum of its intercepts on the axes is $-2$.

The slope of a line that makes intercepts of equal length on the axes is:

The equations of the lines which cut off an intercept of $-1$ from the $y$-axis and are equally inclined to the axes are