Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 5 - Linear Functions - 5-1 Rate of Change and Slope - Practice and Problem-Solving Exercises: 24

Answer

The slope is undefined.

Work Step by Step

To find the slope, we use the formula $m=\frac{y_2-y_1}{x_2-x_1}$. We plug in the $x$ and $y$ values from the points shown in the graph: $m=\frac{-1-3}{-1-(-1)}$ We simplify above and below the fraction bar with subtraction: $m=\frac{-4}{0}$ Any time we try to divide by $0$, the answer is undefined. Therefore, we have an undefined slope.
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