Concept explainers
a)
To find: the slope of any line which is parallel to the given equation.
a)
Answer to Problem 18OE
The slope of parallel line is
Explanation of Solution
Given: The given equation of line is
Concept Used: Slope intercept form is given by
Where,
Parallel lines have the same slope and will never intersect.
Calculation: Given equation of line is
Solve for y,
Comparing it with slope intercept form
Since, the slopes of parallel lines are same
Conclusion: So, the slope of the any line that is parallel to given equation is
b)
To find: the slope of any line which is perpendicular to the given equation.
b)
Answer to Problem 18OE
The slope of perpendicular line is
Explanation of Solution
Given: The given equation of line is
Concept Used: Slope intercept form is given by
Where,
The slope of the perpendicular lines is the negative reciprocals of each other and they intersect at
Calculation: Given equation of line is
Solve for y,
Comparing it with slope intercept form
We get,
Since, the slopes of perpendicular lines are negative reciprocal
Conclusion: So, the slope of the any line that is perpendicular to given equation is
Chapter 3 Solutions
Algebra and Trigonometry: Structure and Method, Book 2
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