(a)
To calculate : The slope of line
(a)
Answer to Problem 68EP
The slope of line
Explanation of Solution
Given information :
The point
Formula used:
The slope of line
Calculation:
The equation can be re-written as
Comparing this equation with
We get the slope of the line as:
(b)
To calculate : The equation for the line through
(b)
Answer to Problem 68EP
The equation for the line through
Explanation of Solution
Given information :
The point
Formula used:
The slope of the parallel lines is same.
Calculation:
Now for a line to be parallel to
So slope of the required line is
Let the equation of the line parallel to the given line be
As it passes through
Then
Therefore, the equation of the required line is
(c)
To calculate : The equation for the line through
(c)
Answer to Problem 68EP
The equation for the line through
Explanation of Solution
Given information :
The point
Formula used:
The product of slope of perpendicular lines is
Calculation:
Now for a line to be perpendicular to the given line at the given point, the product of the slopes of the two lines should be equal to
So slope of the required line is 1.
Let the equation of the line perpendicular to the given line be
As it passes through
Then
Therefore, the equation of the required line is
(d)
To calculate : The
(d)
Answer to Problem 68EP
The
Explanation of Solution
Given information :
The point
Calculation:
To find
Put
Therefore,
Chapter 0 Solutions
CALCULUS:GRAPHICAL,...,AP ED.-W/ACCESS
- 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