Determine the equation of the perpendicular bisector JK whose endpoints are J(-4,9) and K(6,1). Show all your work below. (Use of the grid is optional.)

Step-by-step explanation:

Coordinates of segment with endpoints J and K are,

J(-4, 9) and K(6, 1)

Midpoint of the segment JK =

                                               =

                                               = (1, 5)

Slope of JK,

                             =

                             =

Let the equation of perpendicular bisector passing through and slope is,

By the property of perpendicular lines,

Therefore, equation of the line passing through midpoint (1, 5) and slope = will be,

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