The equation is

Step-by-step explanation:
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:
