Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 3 - Section 3.4 - The Slope of a Line - Exercise Set: 44



Work Step by Step

We are given that $x=4$. To find the slope of a line, we can take two points on the line and calculate the slope using the slope formula. $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$ We know that two points on this line will be (4,6) and (4,8), since all points on this line will have an x-coordinate of 4, no matter the value of y. $m=\frac{8-6}{4-4}=\frac{2}{0}$ So the slope of this line is undefined. In general, the slope of a vertical line, which is in the form $x=c$, has an undefined slope.
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