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: 45

Answer

Undefined

Work Step by Step

We are given that $x+2=0$, which also can be written as $x=-2$. 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 (-2,0) and (-2,4), since all points on this line will have an x-coordinate of -2, no matter the value of y. $m=\frac{4-0}{-2-(-2)}=\frac{2}{-2+2}=\frac{2}{0}$ 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.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.