Concept explainers
To calculate:The equation for the line passing through the origin and is also parallel to line
Answer to Problem 127RE
The equation for the line passing through the origin and is also parallel to line
Explanation of Solution
Given information:
A line passing through origin
Formula used:
Slope m of the line passing through two points in general say
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
When two lines are parallel then their slope are equal that is
Calculation:
Consider theline
Recall the slope-intercept equation for a given line which has slope as
Let the line
Where
Now, we try to express the line
Therefore,
Now let the line given parallel to
Where
Recall when two lines are parallel then their slope are equal that is
Hence,
Therefore, equation of the required line reduces to:
Also it is given that this line passes through origin, therefore, it must satisfy
That is:
Hence,
Hence, the equation for the line passing through the origin and is also parallel to line
Chapter 1 Solutions
EBK PRECALCULUS: MATHEMATICS FOR CALCUL
- 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