Find the equation (in general form) of the bisector of the obtuse angle between the given lines:

Question

x + y = 0 and 5y - 8x + 10 = 0

Please include the solution so I can learn about it.

Answer 1

First equation,

x+y=0....................... (I)

Second equation,

-8x+5y+10=0............. (ii)

a₁a₂+b₁b_{2= positive then find the equation of line of bisector of obtuse angle,}

(x+y) /√2=(-8x+5y+10) /√89

((√89+√2) x/(√178)) +((√89-√2) y/(√178)) -10/√89=0