Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 8 - Coordinate Geometry and Linear Systems - 8.4 - Writing Equations of Lines - Concept Quiz 8.4 - Page 359: 8



Work Step by Step

Any line where $x$ is a constant value must be vertical because $x$ never changes. Since $x$ does not change, slope, which is defined as $\frac{\text{change in}\:y}{\text{change in}\:x}$, would end up with a $0$ in the denominator of the fraction, making the slope undefined.
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