Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 2 - Functions, Equations, and Graphs - 2-3 Linear Functions and Slope-Intercept Form - Lesson Check: 6

Answer

The slope of a vertical line is undefined because the points on the line have the same x-coordinate, so the denominator of the slope is 0, which is undefined.

Work Step by Step

For example, using the points (x,a) and (x,b), we use the slope formula $m=\frac{y_2-y_1}{x_2-x_1}$ to get $m=\frac{b-a}{x-x}=\frac{b-a}{0}$
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