Given:
Endpoints of a segment are J(−24,−4) and K(−4,6).
To find:
The equation in point-slope form for the perpendicular bisector of JK.
Solution:
Slope of JK is
Product of slopes of two perpendicular lines is -1. So, product of perpendicular line of JK is -2.
Perpendicular bisector of JK passes through the midpoint of JK.
Point slope form:
where, m is slope.
Perpendicular bisector of JK passes through (-14,1) with slope -2. So, the point slope form of JK is
Therefore, the correct option is D.