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The equation is
<u>Explanation:</u>
We have to first find the mid-point of the segment, the formula for which is
So, the midpoint will be
=
It is the point at which the segment will be bisected.
Since we are finding a perpendicular bisector, we must determine what slope is perpendicular to that of the existing segment. To determine the segment's slope, we use the slope formula
The slope is =
Perpendicular lines have opposite and reciprocal slopes. The opposite reciprocal of is
To write an equation, substitute the values in y = mx + c
WHere,
y = -1
x = 3
m = 3/2
Solving for c:
Thus, the equation becomes: