Find the equation of the right bisector of the line segment joining the points (3,4) and (-1,2).

Explanation

Coordinates of mid-point of line segment joining points `A(3,4)` and `B(-1,2)`
`=((3-1)/(2),(4+2)/(2))=(1,3)`
Slope of `AB=(2-4)/(-1-3)=(1)/(2)`
Slope of its perpendicular line `=-(1)/(1//2)=-2`
`:.` Equation of required perpendicular bisector
`y-3=-(x-1)`
`impliesy-3=-2x+2`
`implies 2x+y=5`