Question

Determine the equation of the right bisector of the line joining the points $A(-1,2)$ & $B(-3,4)$

Answer 1

Given points $A(-1,2)$ & $B(-3,4)$

The slope of a line given by these points is $m_1=-1$

Hence slope of the line perpendicular to a given line is $m_2=1$

Also, the midpoint of given points by using formula $X=\left(\frac{x_1+x_2}{2}\right)andY=\left(\frac{y_1+y_2}{2}\right)$

is $(-2,3)$

So, equations of a line, which is the right bisector of the line given by the points are:

$l:y-3=1(x+2)$

Hence, $l:x-y+5=0$.