Elementary Algebra

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

Chapter 8 - Coordinate Geometry and Linear Systems - 8.3 - Slope of a Line - Concept Quiz 8.3 - Page 349: 3



Work Step by Step

If a line has a negative slope, it means that the change in $y$ is negative when the change in $x$ is positive because $\text{slope}=\frac{\text{change in}\:y}{\text{change in}\:x}$This scenario would result in a negative divided by a positive, which would result in the desired negative slope. When we put this scenario into words, we find that when $x$ increases, we move from left to right, and when $y$ decreases, we move down. This means that, indeed, a line that has a negative slope falls when we move from left to right.
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