If the line $y = mx + c$ passes through the points $(2, 4)$ and $(3, -5)$,then:

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

Find the equation of a line passing through the point $(2, 5/3)$ such that the segment of the line intercepted between the axes is divided by the point in the ratio $5 : 4$.

$A$ man is walking on a straight line. The arithmetic mean of the reciprocals of the intercepts of this line on the coordinate axes is $\frac{1}{4}$. Three stones $A, B$ and $C$ are placed at the points $(1,1), (2,2)$ and $(4,4)$ respectively. Which of these stones is/are on the path of the man?

If $\alpha$ is the angle made by the perpendicular drawn from the origin to the line $12x - 5y + 13 = 0$ with the positive $X$-axis in the anti-clockwise direction,then $\alpha =$

Find the slope of the line passing through the points $(3, -2)$ and $(3, 4)$.