a.
Calculate the slope − intercept forms of the equations of the lines through the given points which are parallel to the given line.
a.
Answer to Problem 72E
The slope intercept form for the parallel line is
Explanation of Solution
Given:
It is given in the question that the coordinates and equation are
Concept Used:
In this , use the concept that the slope intercept form is
Calculation: The equation is
A parallel line has the same slope as the line we are comparing it to. Then, plug in the given point into the slope intercept form to get the equation of the parallel line.
The parallel line will be :
Conclusion:
The equation is
b.
Calculate the slope − intercept forms of the equations of the lines through the given points which are perpendicular to the given line.
b.
Answer to Problem 72E
The slope intercept form for the perpendicular line is
Explanation of Solution
Given:
It is given in the question that the coordinates and equation are
Concept Used:
In this , use the concept that the slope intercept form is
Calculation: The equation is
A perpendicular line has a slope that is the negative reciprocal of the line we are comparing it to. Then plug in the given point into the slope intercept form to get the equation of the perpendicular line.
Now,the perpendicular line will be
Conclusion:
The equation is
Chapter 1 Solutions
Precalculus with Limits: A Graphing Approach
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