<p>Find the midpoint and the perpendicular gradient. Use the midpoint in the point-gradient equation; handle a horizontal or vertical segment directly.</p>
<div class="graph-block" data-graph-config="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" data-width="300" data-height="200" data-proportional style="width:300px;height:200px;max-width:100%;display:flow-root;margin:0 auto;--graph-width:300px;--graph-aspect:300 / 200;"></div>

Find the midpoint and the perpendicular gradient. Use the midpoint in the point-gradient equation; handle a horizontal or vertical segment directly.

Perpendicular Bisector

Perpendicular Bisector