Find the equation of a line (in standard form) that is the perpendicular bisector of a line segment with endpoints (5,14) and (9,-14).

Question

Find the equation of a line (in standard form) that is the perpendicular bisector of a line segment with endpoints (5,14) and (9,-14).

Answer 1

Determine slope of line between the two points.

Take the negative reciprocal - this the slope of the perpendicular

Determine midpoint between the two points

Use the midpoint and the perpendicular slope to determine equation.