Find the equation of the line passing through the point $(3, 4)$ and making intercepts on the axes of equal magnitude but opposite signs.

The $x$-intercept of a line passing through the points $\left(-\frac{1}{2}, 1\right)$ and $B(1, 3)$ is

The equation of the line perpendicular to $x = c$ is

The length of the perpendicular from the origin to a line is $4$ units,and the perpendicular makes an angle of $30^{\circ}$ with the positive direction of the $x$-axis. Find the equation of the line.

Let $\alpha \in R$. If the line $(\alpha+1) x+\alpha y+\alpha=1$ passes through a fixed point $(h, k)$ for all $\alpha$,then $h^2+k^2=$

The equation of a line is $3x - 4y + 10 = 0$. Find its slope.