Find the equation of a line that cuts off equal intercepts on the coordinate axes and passes through the point $(2,3)$.

If $k = \frac{a+b}{ab}$ is a non-zero constant,then the point which lies on the straight line $\frac{x}{a} + \frac{y}{b} = 1$ is

Find the slope of the line passing through the points $(3, -2)$ and $(7, -2)$.

$A$ ray of light coming from the point $(2, 2\sqrt{3})$ is incident at an angle $30^{\circ}$ with the normal to the line $x=1$ at the point $A$. The ray gets reflected on the line $x=1$ and meets the $x$-axis at the point $B$. Then,the line $AB$ passes through the point

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

Consider the equation $y-y_1=m(x-x_1)$. If $m$ and $x_1$ are fixed and different lines are drawn for different values of $y_1$, then