The distance of a point (2, 5) from the line $3x+y+4=0$ measured along the line $L_{1}$ and $L_{2}$ are same. If slope of line $L_{1}$ is $\frac{3}{4}$, then slope of the line $L_{2}$ is
Show Hint
Logic Tip: The symmetry of the isosceles triangle condition immediately means that the bisector of the angle between $L_1$ and $L_2$ is perpendicular (or parallel) to the base line $L$. Setting up the angle equality is the standard and most robust way to solve this.