Write the equation of the line passing through the points $(1, -1)$ and $(3, 5)$.

Find the equation of the line which passes through the point $(-4, 3)$ with slope $\frac{1}{2}$.

The straight line passing through the point of intersection of the straight lines $x - 3y + 1 = 0$ and $2x + 5y - 9 = 0$ and having infinite slope and at a distance of $2 \text{ units}$ from the origin,has the equation

The equation of the line which cuts off the intercepts $2a \sec \theta$ and $2a \csc \theta$ on the axes is

The equation of a line,whose perpendicular distance from the origin is $7$ units and the angle,which the perpendicular to the line from the origin makes,is $120^{\circ}$ with the positive $X$-axis,is

Find the slope of the line making an inclination of $60^{\circ}$ with the positive direction of the $x$-axis.