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

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.1: The Rectangular Coordinate System
Problem 32E: There are two points on the x-axis that are located a distance of 6 units from the points 3,1....
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**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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