Concept explainers
Show that the lines 3x − 5y + 19 = 0 and 10x + 6y − 50 = 0 are perpendicular and find their point of intersection.
To show: The lines
Answer to Problem 42E
The point of the intersection is
Explanation of Solution
Formula used:
The two lines with slopes
Calculation:
It is enough to show that
Find the slope of the line
Therefore, the slope is
Find the slope of the line
Therefore, the slope is
Here,
From the given formula, the given two lines are perpendicular.
Hence, it is proved that the lines
In order to find the intersection of their points, equate the equations (1) and (2) as follows.
On further simplification,
Now substitute
Therefore, the point of the intersection is
Chapter B Solutions
Single Variable Calculus: Concepts and Contexts, Enhanced Edition
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Finite Mathematics and Calculus with Applications (10th Edition)
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Calculus, Single Variable: Early Transcendentals (3rd Edition)
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University Calculus: Early Transcendentals (4th Edition)
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