Concept explainers
a.
To calculate: The equation of a line in standard form which passes through point P and is parallel to line L .
a.
Answer to Problem 35WE
The equation of the line in standard form is
Explanation of Solution
Given information:The point
Formula used:
The standard form of the line is
The slope of the line
Calculation:
Since the line is parallel to line L this means there slope will be same.
Also the line passes through point
Then the slope-point form of the line is
Hence the equation of the line in standard form is
b.
To calculate:The equation of a line in standard form which passes through point P and is perpendicular to line L .
b.
Answer to Problem 35WE
The equation of the line in standard form is
Explanation of Solution
Given information: The point
Formula used:
Slope-point form of line is:
The standard form of the line is
The slope of the line
Calculation:
Since the line is perpendicular to line L this means there slope will be given by
Also the line passes through point
Then the slope-point form of the line is
Hence the equation of the line in standard form is
Chapter 3 Solutions
Algebra and Trigonometry: Structure and Method, Book 2
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