Concept explainers
In Problems
For the line
The line parallel to the line
Answer to Problem 10CT
Solution:
The equation of the line parallel to line
Explanation of Solution
Given Information:
The equation of the line
Explanation:
First, write the equation of line
Subtracting
Dividing by 3 on both sides,
Thus, the slope intercept form of the line
By comparing equation
The slope of the parallel lines is equal, so the slope of the line parallel to
Since the line contains point
Use point-slope form to get the equation of line
By substituting values of
Thus, the equation of the line parallel to line
Now, to find the equation of the line perpendicular to line
The product of the slopes of perpendicular lines is
Hence, the slope of the line perpendicular to
Now, find the equation of the line containing point
By using point slope form:
Thus, the equation of the line perpendicular to line
Chapter 1 Solutions
Precalculus
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