Concept explainers
a.
To find: The equation of the line in standard form through the given point that is parallel to the given line.
a.
Answer to Problem 7CT
The equation of the line in standard form through
Explanation of Solution
Given Information: Point is
Calculation:
Writing the given equation of line slope intercept form,
A line which is parallel to the given line has same slope, i.e.,
So putting the slope and given point in point-slope form
Thus, the equation of the line in standard form through
b.
To find: The equation of the line in standard form through the given point that is perpendicular to the given line.
b.
Answer to Problem 7CT
The equation of the line in standard form through
Explanation of Solution
Given Information: Point is
Calculation:
From part (a), slope of the given line is
The line which is perpendicular to the given line has slope
So putting the slope and given point in
Thus, the equation of the line in standard form through
Chapter 3 Solutions
Algebra and Trigonometry: Structure and Method, Book 2
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