
Concept explainers
a.
Find equation of parallel line.
a.

Answer to Problem 80E
Explanation of Solution
Given information:
Write equations of the lines through the given point parallel to given line.
Calculation:
Consider the given points on line.
The equation of line with slope
If the slopes of two non vertical lines are equal then lines are parallel.
If the slopes of two non vertical lines are negative reciprocal of each other then lines are perpendicular.
Now compare given line with standard equation of slope intercept form ,
Subtract
A line parallel to given line will have slope equal to the given line and it will pass through the given point
Apply point slope form of equation,
Subtract
Hence, the line through point
b.
Find equation of perpendicular line.
b.

Answer to Problem 80E
Explanation of Solution
Given information:
Write equations of the lines through the given point parallel to given line.
Calculation:
Consider the given points on line.
The equation of line with slope
If the slopes of two non vertical lines are equal then lines are parallel.
If the slopes of two non vertical lines are negative reciprocal of each other then lines are perpendicular.
Now compare given line with standard equation of slope intercept form ,
Subtract
Apply point slope form of equation,
Subtract
Hence, the line through point
Chapter 1 Solutions
EBK PRECALCULUS W/LIMITS
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