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29) What is the equation of a line through (-7,5) (a) If the line is vertical? (b) If the line is horizontal?

29) What is the equation of a line through (-7,5) (a) If the line is vertical? (b) If the line is horizontal?

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
Section1.3: Lines
Problem 3E
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Question
**Question 29:** What is the equation of a line through \((-7, 5)\)? **(a) If the line is vertical?** **(b) If the line is horizontal?** **Explanation:** - **Vertical Line:** A vertical line through a point has an equation of the form \(x = a\), where \(a\) is the x-coordinate of the point. For the point \((-7, 5)\), the equation is \(x = -7\). - **Horizontal Line:** A horizontal line through a point has an equation of the form \(y = b\), where \(b\) is the y-coordinate of the point. For the point \((-7, 5)\), the equation is \(y = 5\).
Transcribed Image Text:**Question 29:** What is the equation of a line through \((-7, 5)\)? **(a) If the line is vertical?** **(b) If the line is horizontal?** **Explanation:** - **Vertical Line:** A vertical line through a point has an equation of the form \(x = a\), where \(a\) is the x-coordinate of the point. For the point \((-7, 5)\), the equation is \(x = -7\). - **Horizontal Line:** A horizontal line through a point has an equation of the form \(y = b\), where \(b\) is the y-coordinate of the point. For the point \((-7, 5)\), the equation is \(y = 5\).
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