Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 7 - Algebra: Graphs, Functions, and Linear Systems - 7.2 Linear Functions and Their Graphs - Exercise Set 7.2: 16

Answer

The slope is undefined. The line that passes through the given points is vertical.

Work Step by Step

RECALL: (1) The slope $m$ of a line can be found using the formula $m=\dfrac{y_2-y_1}{x_2-x_1}$. (2) A line with a positive slope means the line rises from left to right. A negative slope means the line falls from left to right. (3) A zero slope means the line is horizontal. An undefined slope means the line is vertical. Solve for the slope using the formula in (1) to obtain: $m=\dfrac{5-(-4)}{3-3}=\dfrac{5+4}{0}$ (slope is undefined) The slope is undefined, so the line is vertical.
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