Geometry: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281159
ISBN 13: 978-0-13328-115-6

Chapter 3 - Parallel and Perpendicular Lines - 3-7 Equations of Lines in the Coordinate Plane - Practice and Problem-Solving Exercises - Page 194: 34

Answer

The equation of the horizontal line that passes through this point is $y = 7$. The equation of the vertical line that passes through this point is $x = 4$.

Work Step by Step

We are given the point $(4, 7)$. If a horizontal line passes through the given point, then each point on that line would have a y-coordinate of $7$; therefore, the equation of the horizontal line that passes through this point is $y = 7$. If a vertical line passes through the given point, then each point on that line would have an x-coordinate of $4$; therefore, the equation of the vertical line that passes through this point is $x = 4$.
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