(a)
To fill: The value of slope of given line.
(a)
Answer to Problem 2E
The slope of given line is 3.
Explanation of Solution
Given:
The equation of line is,
The equation of line that has slope m and y-intercept b is,
Compare given equation with above equation to get the value of slope,
Thus, the slope of given line is 3.
(b)
To fill: The value slope of any parallel line of given line.
(b)
Answer to Problem 2E
The slope of any parallel line of given line is 3.
Explanation of Solution
Two non-vertical lines are called parallel if and only if they have same slope so that the slope of any parallel line of given line is equal to the slope of given line.
Thus the slope of any parallel line of given line is 3.
(c)
To fill: The value of slope of any line perpendicular to given line.
(c)
Answer to Problem 2E
The slope of any line perpendicular to given line is
Explanation of Solution
Given:
The equation of line is,
Calculation:
The formula of two perpendicular lines is,
In the above equation
Substitute 3 for
Thus, the slope of any line perpendicular to given line is
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