Answer:


Explanation:
A perpendicular bisector is a line that intersects another line segment at 90°, dividing it into two equal parts.
If two lines are perpendicular to each other, their slopes are negative reciprocals.
To find the perpendicular bisector of segment AB, first find its midpoint and its slope.
Define the endpoints of AB:
- (x₁, y₁) = (-4, 3)
- (x₂, y₂) = (12, -11)




Therefore, the slope of the perpendicular bisector is ⁸/₇.

Substitute the slope ⁸/₇ and midpoint (4, -4) into the formula to create an equation for the line that is the perpendicular bisector of segment AB:




