Question Type 1: Finding the equation of a perpendicular bisector given two points Exercises

Find the equation of the perpendicular bisector of the line segment joining the points $(8,1)$ and $(9,-2)$.

Determine the equation of the perpendicular bisector of the segment with endpoints $(2,5)$ and $(6,1)$.

Calculate the equation of the perpendicular bisector of the segment with endpoints $(0,0)$ and $(4,8)$.

The endpoints of a segment are $A(1,7)$ and $B(5,31)$. Find the equation of its perpendicular bisector.

Find the perpendicular bisector of the segment with endpoints $(0,4)$ and $(6,34)$.

Find the perpendicular bisector of the segment joining $(-3,4)$ and $(1,-2)$.

Determine the perpendicular bisector of the segment with endpoints $(1,5)$ and $(5,33)$.

Determine the perpendicular bisector of the segment joining $(1.5,2)$ and $(4,5)$.

Calculate the equation of the perpendicular bisector of the segment joining $(-1,4)$ and $(7,34)$.

Given the segment with endpoints $(2,20)$ and $(6,28)$ whose midpoint lies on $y=5x+4$ at $x=4$, find its perpendicular bisector.

Find the equation of the perpendicular bisector for the segment with endpoints $(-2.3,1.7)$ and $(3.5,-0.3)$.

A line segment has endpoints $A(-1,4)$ and $B(5,24)$, so its midpoint lies on the line $y=5x+4$ at $x=2$. Find the perpendicular bisector of $AB$.