Concept explainers
To calculate:The equation for the line passing through the point
Answer to Problem 126RE
The equation for the line passing through the point
Explanation of Solution
Given information:
A line passing through the point
Formula used:
Slope m of the line passing through two points in general say
Point-slope equation for a given line passing along point
Slope-intercept equation for a given line which has slope as
Two-intercept equation for a given line which has
When two lines are perpendicular then the product of their slopes is zero that is
Calculation:
Consider thegiven point
Recall the slope-intercept equation for a given line which has slope as
Let the line passing through point
Where
Now, we try to express the line
Firstly let its general form be
Where
Comparing with
As it’s given that line
Therefore, recall that when two lines are perpendicular then the product of their slopes is zero that is
That is:
Therefore, equation of the required line reduces to:
Also it is given that this line passes through
Then in order to proceed following should be known:
Putting this in equation
Put this value of
Hence, the equation for the line passing through the point
Chapter 1 Solutions
Precalculus: Mathematics for Calculus - 6th 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