
Find whether the lines L 1 and L 2 passing through the pairs of points are parallel,perpendicular,or neither.

Answer to Problem 63E
The two lines L 1 and L 2 are perpendicular to each other.
Explanation of Solution
Given:
It is given in the question that the two lines having points are L1:(0,−1),(5,9)and L2:(0,3),(4,1)
Concept Used:
In this,use the concept of slope equation and some more concepts that when the slopes are same then it is parallel ,if the slopes are negative reciprocals of one another,then they are perpendicular and if the lines do not have either of the two then neither parallel nor perpendicular.
Calculation:
Now,use the slope equation for line L 1 ,
m=(−1)−(9)(0)−(5)=−10−5=2
Again use the slope equation for line L 2 ,
m=(3)−(1)(0)−(4)=2−4=−12
As seen above,it clearly described they are negative reciprocals of one another so they are perpendicular.
Conclusion:
It is perpendicular.
Chapter 1 Solutions
Precalculus with Limits: A Graphing Approach
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