Question

The vertices of a triangle are A (- 1, - 7), B (5, 1) and C (1, 4). The equation of the bisector of the angle $\angle$ABC is.

Answer 1

$x-7y+2=0$. $AB=10,BC=5$. The bisector of $\angle$ ABC will divide the opposite side AC in the ratio of arms of the angel.
$\therefore$ Equation of BD by two points formula is
$x-7y+2=0$