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 - Page 432: 79

Answer

The provided statement is false. The true statement is “Vertical lines cannot be expressed in slope-intercept form”.

Work Step by Step

It is known that the slope intercept form of a line is , where m is slope of the line and c is intercept point on y-axis when . Also, slope-intercept form consists of x and y so, every equation of a line in the rectangular coordinate system has an equation that can be expressed in slope-intercept form. But any two points on a vertical line have the same -coordinate. So, slope cannot be computed by the help of the formula as division by zero is undefined. Hence, provided statement is false.
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