Concept explainers
To calculate: To find the equation of the perpendicular bisector of the line segment joining the points
Answer to Problem 45E
The equation of perpendicular bisector is
Explanation of Solution
Given information: Points are
Formula Used:
The mid-point of the line segment from
Product of the slope of perpendicular line is equal to
Perpendicular bisector of a line segment is a line that is perpendicular to the line segment and passes through the mid-point of the line segment
Slope of the line passing through the points
Equation of line having slope
Calculation:
Points are given as follows:
Slope of the line segment is calculated as
Let us assume that slope of line perpendicular to above line is
Since theProduct of the slope of perpendicular line is equal to
Thus,
Substituting the values,
Mid-point of the line segment joining above two points is calculated as
Substituting the values,
Thus, the perpendicular bisector passes through the point
Now, equation of perpendicular bisector is
Conclusion:
Hence, equation of perpendicular bisector is
Chapter B Solutions
Single Variable Calculus: Concepts and Contexts, Enhanced Edition
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning